Probability and Statistics - Practice Tests and Solutions
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Probability and Statistics - Practice Tests and Solutions

Master the Probability and Statistics Concepts by Solving 100+ Problems - Explanation Videos Included.
Bestseller
4.3 (31 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
548 students enrolled
Created by Sandeep Kumar ­
Last updated 12/2019
English
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This course includes
  • 7.5 hours on-demand video
  • 1 article
  • 3 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • This Practice Tests course is designed to refresh your understanding of topics related to probability and statistics.
  • Test your knowledge on topics related to probability and statistics before taking the ASQ CQE, CSSGB or the CSSBB exam.
Requirements
  • A simple calculator with statistical functions - eg TI-30Xa
Description

Learn probability and statistics by solving problems.

This course will test your understanding of the basic concepts related to Probability, Statistics and Data Analysis. More than 100 questions with solutions have been included in this course.

Following areas of statistics are covered:

Descriptive Statistics - Mean, Mode, Median, Quartile, Range, Inter Quartile Range, Standard Deviation

Data Visualization - Commonly used charts such as Histogram and Box and Whisker Plot

Probability - Basic Concepts, Permutations, Combinations

Probability Distributions - Normal, Binomial and Poisson Distributions

Hypothesis Testing - One Sample and Two Samples - z Test, t-Test, p Test, F Test, Chi-Square Test

ANOVA - Analysis of Variance (ANOVA)

Who this course is for:
  • Quality professionals appearing in the ASQ exams (such as CQE, CSSGB, CSSBB)
Course content
Expand all 119 lectures 07:30:55
+ Quiz Questions
2 lectures 04:07

Download the file under resources for probability distributions tables.

Preview 03:58
Download Tables and Reference Sheets
00:09
Basic Probability
21 questions

Mean, mode, median, sd, variance, IQR

Descriptive Statistics
18 questions
Probability Distributions
25 questions
Central Limit Theorem, Confidence Interval and Hypothesis Testing Basics
16 questions
Hypothesis Tests (One Sample and Two Sample)
26 questions
ANOVA, Goodness of Fit Test and Contingency Tables
11 questions
+ Solutions - Quiz 1 Basic Probability
21 lectures 01:26:03

A single die is rolled once. Find the probability of getting 1 or 6.

Basic Probability - 1QA1 - A single die is rolled once. Find the probability ..
01:51

A ball is drawn at random from a box containing 20 red balls, 30 yellow balls, 10 green and 40 blue balls. Determine the probability that it is either green or blue.

Basic Probability - 1QA2 - A ball is drawn at random from a box containing 20 ..
04:46

If two dice are rolled, what is the probability of getting the sum of numbers greater than 7?

Basic Probability - 1QA3 - If two dice are rolled, what is the probability of ..
04:01

If X={1,3,5,7,9} , Y={1,2,3,9,11} and Z = {5,8,9}. What is the value of (X∩Y)∪(X ∩Z)?

Basic Probability - 1QA4 - If X={1,3,5,7,9} , Y={1,2,3,9,11} and Z = {5,8,9} ..
03:03

If P(A) = 0.10, P(B) = 0.10, P(A ∪ B) = 0.18. What is the value of P(A∩B)?

Basic Probability - 1QA5 - If P(A) = 0.10, P(B) = 0.10, P(A ∪ B) = 0.18 What ..
02:46

Which of the following events are mutually exclusive?

Basic Probability - 1QA6 - Which of the following events are mutually exclusive?
03:33

If P(A) = 0.10, P(B) = 0.10, P(A∩B) = 0.02

P(C) = 0.10, P(A∩C) = 0.02, and events B and C are mutually exclusive event.

What is the value of P(B∩C)?

Basic Probability - 1QA7 - If P(A) = 0.10, P(B) = 0.10, P(A∩B) = 0.02 ...
03:24

If P(A) = 0.10, P(B) = 0.10, P(A∩B) = 0.02

P(C) = 0.10, P(A∩C) = 0.02, and events B and C are mutually exclusive event.

What is the value of P(A∪B∪C)?

Basic Probability - 1QA8 - If P(A) = 0.10, P(B) = 0.10, P(A) ∩ P(B) = 0.02 ...
01:55

In a town, 50% of people speak English and 55% of people speak French. Out of these 13% people speak both English and French. What percent of people either speak English or French?

Basic Probability - 1QA9 - In a town 50% people speak English and 55% people ...
02:22

A card is drawn from a full deck of 52 cards. What is the probability that the card drawn will be either a king or a black card?

Basic Probability - 1QA10 - A card is drawn from a full deck of 52 cards. What
02:30

What is the probability of a 6 turning up at least once in two tosses of a fair die?

Basic Probability - 1QA11 - What is the probability of a 6 turning up at least
03:12

A fair die is tossed twice. What is the probability of getting the odd number in the first roll and even number in the second roll?

Basic Probability - 1QA12 - A fair die is tossed twice. What is the probability
04:40

Two balls are drawn at random without replacement from a box containing 2 red balls, 3 yellow balls, 1 green and 4 blue balls. Determine the probability that both are red.

Basic Probability - 1QA13 - Two balls are drawn at random without replacement
02:39

In how many ways can a committee of 4 people be chosen out of 10 people?

Basic Probability - 1QA14 - In how many ways can a committee of 4 people be ...
03:44

In how many different ways can the letters of the word ‘QUALITY' be arranged?

Basic Probability - 1QA15 - In how many different ways can the letters of the
02:56

The probability that a random person has lung cancer is 0.0025 and the probability that the person has lung cancer and is also a heavy smoker is 0.002. Given that someone picked at random has lung cancer, what is the probability that the person is a heavy smoker?

Basic Probability - 1QA16 - The probability that a random person has lung ..
03:30

If you randomly draw a card from two packs below and it comes out to be red.

What is the probability that the red card came from pack 1?

Basic Probability - 1QA17 - If you randomly draw a card from two packs below ..
17:54

If P(A) = 0.17 and P(B) = 0.31. If P(A|B) = 0.12, what is P(B|A)?

Basic Probability - 1QA18 - If P(A) = 0.17 and P(B) = 0.31. If P(A|B) = 0.12, ..
02:05

A box contains 3 red and 2 blue balls while another box contains 2 red and 5 blue balls. A ball drawn at random from one of the boxes turns out to be red. What is the probability that it came from the first box?

Basic Probability - 1QA19 - A box contains 3 red and 2 blue balls while ...
04:01

A test for a rare disease is 99 percent correct most of the time (meaning if you have the disease, it will show that you do with a 99 percent probability, and if you do not have this disease, it will show that you don’t with a 99 percent probability).

The disease is very rare, and it occurs randomly in the population in one per 10,000 people.

If you get back the test results as positive, calculate the probability that you have the disease?

Preview 06:53

A welder produces welds that can have a crack, porosity or both. The probability of having crack is 0.10, and of having the porosity is 0.20.

What is the probability of having a weld with no defect?

Basic Probability - 1QA21 - A welder produces welds that can have a crack ...
04:18
+ Solutions: Quiz 2: Descriptive Statistics
18 lectures 42:52

A class has a mean score of 65 (μ=65) and a standard deviation of 7 (σ=7). Later 3 points are added to every student’s score. What are the new values for the mean and standard deviation?

Descriptive Statistics - 2Q1 - A class has a mean score of 65 (μ=65) and a ...
03:47

In the birth register maintained by the hospital, one of the columns is the gender of the newborn child. What type of data is this?

Descriptive Statistics - 2QA2 - In the birth register maintained by the hospital
02:01

What symbol is used to denote the mean of a population?

Descriptive Statistics - 2QA3 - What symbol is used to denote the mean of a ...
03:07

Find the variance of the following sample data:

1, 2, 3

Descriptive Statistics - 2QA4 - Find the variance of the following sample data
03:32

If the standard deviation of the data is 0.36, what is the variance of this data?

Descriptive Statistics - 2QA5 - If the standard deviation of the data is 0.36 ..
00:50

The mean of 4 numbers is 28.

If three of the numbers are 10, 20, 40, what is the value of the fourth number?

Descriptive Statistics - 2QA6 - The mean of 4 numbers is 28. If three of the...
01:21

What is the median of the following data set?

24, 4, 20, 8, 1, 17

Descriptive Statistics - 2QA7 - What is the median of the following data set?
01:50

What is the mode of the following data set?

24, 4, 20, 8, 1, 17, 4

Descriptive Statistics - 2QA8 - What is the mode of the following data set?
01:10

What is the term used to describe the distribution of a data set that has 1 mode?

Descriptive Statistics - 2QA9 - What is the term used to describe the distri
02:03

Which of the following measures can have more than one value for a set of data?

Descriptive Statistics - 2QA10 - Which of the following measures can have more
00:50

The mean and the standard deviation of two independent equal size groups are as follows: mean(A) = 100, sd(A) = 3, mean(B) = 25, sd(B) = 4. What will be the mean and standard deviation of (A-B) ?

Descriptive Statistics - 2QA11 - The mean and the standard deviation of two
03:03

Find the Inter-Quartile Range for the following data:

24, 4, 20, 8, 1, 17, 6

Descriptive Statistics - 2QA12 - Find the Inter-Quartile Range for the following
02:23

What is the mode of the data shown in the histogram below?

Descriptive Statistics - 2QA13 - What is the mode of the data shown in the histo
01:49

What is the median of the data shown in the Box-and-Whisker plot below?

Descriptive Statistics - 2QA14 - What is the median of the data shown in the Box
01:38

What is the Inter-quartile Range of the data shown in the Box-and-Whisker plot below?

Descriptive Statistics - 2QA15 - What is the Inter-quartile Range of the data
01:24

Which of the following statement is correct about the Box-and-Whisker Plot shown below?

Descriptive Statistics - 2QA16 - Which of the following statement is correct
04:26

The mean of a set of numbers is 100, the mode is 60, and the median is 80. What is the shape of the distribution?

Descriptive Statistics - 2QA17 - The mean of a set of numbers is 100, the mode
04:03

Calculate the standard deviation of the following set of sample data:

1.1, 2.3, 4.0, 2.3, 1.7

Descriptive Statistics - 2QA18 - Calculate the standard deviation of the follow
03:35
+ Solutions: Quiz 3: Probability Distributions
25 lectures 01:32:00

A manufacturer produces 10% defective items. What is the probability that a sample of 4 random items picked by the client does not have a single defective?

Probability Distributions - 3QA1 - A manufacturer produces 10% defective items
07:20

A manufacturer produces 10% defective items. What is the probability that a sample of 4 random items picked by the client has one or more defectives?

Probability Distributions - 3QA2 - A manufacturer produces 10% defective items.
02:54

What is the mean and the variance of a binomial random variable with n = 4 and p = 0.10?

Probability Distributions - 3QA3 - What is the mean and the variance of a binomi
02:50

In flipping a fair coin 5 times what is the probability of getting at least three heads?

Probability Distributions - 3QA4 - In flipping a fair coin 5 times what is the p
02:40

The average defects rate of a supplier is 6%. In a simple random sample of six pieces by a client, what is the probability that there is at least one defective piece in that sample?

Probability Distributions - 3QA5 - The average defects rate of a supplier is 6%.
01:33

Calculate the probability of 3 or fewer defectives based on the following probabilities:

P(1 or more defective) = 0.83

P(2 or more defective) = 0.47

P(3 or more defective) = 0.17

P(4 or more defective) = 0.04

Probability Distributions - 3QA6 - Calculate the probability of 3 or fewer defec
04:45

On a booking counter on the average 3.6 people come every 10 minute on weekends. You have been asked by your manager to find out the probability of getting more than 7 people in 10 minutes. What probability distribution would you use to solve this problem?

Probability Distributions - 3QB1 - On a booking counter on the average 3.6 peopl
05:25

In the formula for the Poisson Distribution shown below, what is the value of “e”?

Probability Distributions - 3QB2 - In the formula for the Poisson Distribution
02:36

On a booking counter on the average 3.6 people come every 10 minute on weekends. What is the probability of getting exactly 7 people in 10 minutes?

Probability Distributions - 3QB3 - On a booking counter on the average 3.6 peopl
04:29

A data entry operator has an average error rate of 0.1% of words typed. Consider the error rate follows the Poisson Distribution, what is the probability that an assignment of 2000 words will be error free?

Probability Distributions - 3QB4 - A data entry operator has an average error r
03:01

What is the distribution that has the same mean and variance?

Probability Distributions - 3QB5 - What is the distribution that has the same me
01:10

If the probability that the glass panel will have an air bubble (defect) is 0.001, what is the probability that out of 2000 panels produced none of the panels will have the air bubble? (Use Poisson Approximation)

Probability Distributions - 3QB6 - If the probability that the glass panel will
06:30

A population has a μ=45 and σ=2. If these scores are transformed into z-scores, the population of z-scores will have a mean and standard deviation of:

Probability Distributions - 3QC1 - A population has a μ=45 and σ=2. If these sco
03:47

A random variable X has a normal distribution, with a mean of 10 and a standard deviation of 2. What will be the z-score for a value of 5?

Probability Distributions - 3QC2 - A random variable X has a normal distribution
01:42

Using the Z Table what is the value of P(z < 1.13)?

Probability Distributions - 3QC3 - Using the Z Table what is the value of P(z <
02:29

Using the Z Table what is the value of P(–0.5 < z < 1.0)?

Probability Distributions - 3QC4 - Using the Z Table what is the value of P(–0.
04:09

If data are normally distributed, what percentage of the data should lie within the range of mean plus/minus 3 times the standard deviation?

Probability Distributions - 3QC5 - If data are normally distributed, what percen
01:38

Looking at the below Histogram, what is the best estimate of the standard deviation of this distribution?

Probability Distributions - 3QC6 - Looking at the below Histogram, what is the b
02:08

The mean weight of 1000 students at a certain college is 62 Kg and the standard deviation is 5Kg. Assuming that the weights are normally distributed, find the probability that a randomly selected student weighs between 55 and 60 Kg?

Probability Distributions - 3QC7 - The mean weight of 1000 students at a certain
03:54

The average annual rain fall in a city is 35 inches. What is the standard deviation if 15% of the years have the rainfall above 40 inches? Assume yearly rainfalls are normally distributed.

Probability Distributions - 3QC8 - The average annual rain fall in a city is 35
03:34

Suppose that 40% of bolts have a tensile strength of more than 95 ksi, while 70% have more than 82 ksi. Assuming a normal distribution, what are the mean and standard deviation of the bolt tensile strength?

Probability Distributions - 3QC9 - Suppose that 40% of a bolts have the tensile
06:25

The lifetime of a newly produced LED bulb is normally distributed. The mean life is 14 years, and the standard deviation is 3 years. Out of 5,000 bulbs in test, how many are expected to fail in 5 years?

Probability Distributions - 3QC10 - The lifetime of a newly produced LED bulb is
03:05

A fair coin is tossed 45 times. What is the probability that you will get heads in at most 25 of these tosses? (Use Normal approximation)

Probability Distributions - 3QC11 - A fair coin is tossed 45 times. What is the
08:40

Regarding t-distribution which of the following statements is false?

Probability Distributions - 3QD1 - Regarding t-distribution which of the followi
03:28

A battery manufacturer claims that the battery lasts for 300 hours. An independent tester checks 15 batteries and find out the average life to be 280 hours with the standard deviation of 24 hours. What is the t-statistic in this example?

Probability Distributions - 3QD2 - A battery manufacturer claims that the batter
01:48
+ Solutions: Quiz 4: Hypothesis Basics
16 lectures 01:02:13

Bolts produced by a machine have a mean weight of 50 gm and a standard deviation of 2 gm. If 300 random samples of size 36 are drawn from this population, determine the expected mean and standard deviation of the sampling distribution of means.

Central Limit Theorem - 4QA1 - Bolts produced by a machine have a mean weight of
07:43

From the Minitab output below, one item (SE Mean) has been blurred out. Calculate the missing value from the available data.

Central Limit Theorem - 4QA2 - From the Minitab output below, one item (SE Mean)
02:24

One thousand bolts produced by a machine have a mean weight of 50 gm and a standard deviation of 2 gm. What is the probability that a random sample of 100 bolts selected from this group will have a combined weight greater than 5,200 gm?

Central Limit Theorem - 4QA3 - One thousand bolts produced by a machine have a m
03:57

A Normal distribution has a mean of 50 and a standard deviation of 10.

If 100 items are randomly selected from this distribution, how many of these are expected to have value between 50 and 60?

Central Limit Theorem - 4QA4 - A Normal distribution has a mean of 50 and a stan
03:12

Regardless of the distribution of the individuals, the distribution of the average of n samples will follow which distribution as n becomes large?

Central Limit Theorem - 4QA5 - Regardless of the distribution of the individuals
01:59

The distribution of a characteristic is negatively skewed. The sampling distribution of the mean for large samples is:

Central Limit Theorem - 4QA6 - The distribution of a characteristic is negativel
01:45

A survey was conducted in a country to determine the percentage of people who would support the change of government. The results were stated as 67% with a margin of error of ±4%. What is meant by ±4%?

Confidence Interval - 4QB1 - A survey was conducted in a country to determine th
03:01

Which of the following will result in the narrowest confidence interval?

Confidence Interval - 4QB2 - Which of the following will result in the narrowest
04:17

Researchers want to determine the sleeping time each night in India. A study of a random sample of 100 Indians found the average amount of time people sleep each night is 6.3 hours with a standard deviation of 2.6 hours. Use the sample of data to construct a 95% confidence interval to estimate the true mean amount of time people in India sleep each night.

Confidence Interval - 4QB3 - Researchers want to determine the sleeping time eac
06:20

A teacher found that in a sample of 80 students, 17 said they use social media while doing their homework. Use the sample of data to construct a 90% confidence interval to estimate the true proportion of students using social media while doing their homework.

Confidence Interval - 4QB4 - A teacher found that in a sample of 80 students, 17
05:50

A medicine has a 66% success rate. The composition of the medicine was modified to improve its effectiveness. We want to test if with the new composition more than 66% get cured.

Which of the following is the correct null and alternate Hypothesis?

Hypothesis Tests Basics - 4QC1 - A medicine has 66% success rate. The compositio
03:01

A lubricating oil manufacturing company continually monitors the viscosity of the oil. If the viscosity from sample data drops below a specified level, the production process is halted, and the machine is readjusted. Which of the following would result from a Type I error?

Preview 04:36

Suppose you conducted 10 hypothesis tests, each at the α = 0.05 significance level. What is the probability of committing a Type I error and incorrectly rejecting a true Ho with at least one of the 10 tests?

Hypothesis Tests Basics - 4QC3 - Suppose you conducted 10 hypothesis tests, each
04:07

What is the probability of a Type II error when a hypothesis test is being conducted at the 10% significance level (α = 0.10)?

Hypothesis Tests Basics - 4QC4 - What is the probability of a Type II error when
02:00

Which of the following statements is correct regarding the P-value?

Hypothesis Tests Basics - 4QC5 - Which of the following statements is correct re
05:11

What is the difference between setting the alpha value equal to 0.05 and alpha value equal to 0.01 in hypothesis tests?

Hypothesis Tests Basics - 4QC6 - What is the difference between setting the alph
02:50
+ Solutions: Quiz 5: Hypothesis Tests (One Sample and Two Sample)
26 lectures 01:56:24

The average breaking strength of steel rods is required to be at least 35,000 psi. Based on the historical information the standard deviation of breaking strength is 1,500 psi. A random sample of four specimens had the strength as piece one 32,000, piece two 36,000, piece three 34,000 and piece four 34,500.

Which of the following hypothesis tests would you conduct?

Hypothesis Tests - 5QA1 - The average breaking strength of steel rods is require
04:55

The average breaking strength of steel rods is required to be at least 35,000 psi. Based on the historical information the standard deviation of breaking strength is 1,500 psi. A random sample of four specimens had the strengths as: piece one 32,000, piece two 36,000, piece three 34,000 and piece four 34,500.

What will be null and alternate hypothesis is this case?

Hypothesis Tests - 5QA2 - The average breaking strength of steel rods is require
04:25

The average breaking strength of steel rods is required to be at least 35,000 psi. Based on the historical information the standard deviation of breaking strength is 1,500 psi. A random sample of four specimens had the strengths as: piece one 32,000, piece two 36,000, piece three 34,000 and piece four 34,500.

Calculate the test statistic.

Hypothesis Tests - 5QA3 - The average breaking strength of steel rods is require
09:07

The average breaking strength of steel rods is required to be at least 35,000 psi. Based on the historical information the standard deviation of breaking strength is 1,500 psi. A random sample of four specimens had the strengths as: piece one 32,000, piece two 36,000, piece three 34,000 and piece four 34,500.

What would you conclude from this test with a 95% confidence level?

Hypothesis Tests - 5QA4 - The average breaking strength of steel rods is require
06:26

A random sample of 15 batteries resulted in the average life of 280 hours with a standard deviation of 24 hours. Assume the battery life to be normally distributed and α = 0.05 test the following hypothesis:

Ho: ? = 300 hours| Ha: ? ≠ 300 hours

Hypothesis Tests - 5QA5 - A random sample of 15 batteries resulted in the averag
09:00

A survey claimed that 23% of adults in the country read a printed newspaper. A city newspaper does not agree with it and assumes that the percentage is more than 23% in the city. A city-wide survey was conducted. Out of 500 adults surveyed 124 people confirmed that they read the printed newspaper. Using the level of significance of 0.05 what would you conclude from this information?

Hypothesis Tests - 5QA6 - A survey claimed that 23% adults in the country read p
08:12

To test the following hypothesis, what will be the test statistic?

Hypothesis Tests - 5QA7 - To test the following hypothesis, what will be the tes
04:52

Calculate the test statistic for the following hypothesis using the given data:

Hypothesis Tests - 5QA8 - Calculate the test statistic for the following hypothe
03:01

Conduct the following hypothesis using the given data. What would you conclude?

Preview 05:41

The chi-square test statistic can have the __________ .

Hypothesis Tests - 5QA10 - The chi-square test statistic can have the __________
02:54

A university has professors with Ph.D. and without a Ph.D. For comparing their average salaries, which of the following tests is most appropriate for a sample size of 10?

Hypothesis Tests - 5QB1 - A university has professors with Ph.D. and without a P
02:37

If alpha = 0.05, what do you conclude from the below output?

Hypothesis Tests - 5QB2 - If alpha = 0.05, what do you conclude from the below
03:12

50 men and 50 women were surveyed to find out their annual income. The Surveyor wants to check if men have a significantly higher salary than women.

What will be the Null Hypothesis?

Hypothesis Tests - 5QB3 - 50 men and 50 women were surveyed to find out their
03:43

50 men and 50 women were surveyed to find out their annual income. The Surveyor wants to check if men have a significantly higher salary than women.

What will be the value of the test statistic?

Hypothesis Tests - 5QB4 - 50 men and 50 women were surveyed to find out their
06:16

In a two-sample t-test under what condition the following formula is used to calculate the degrees of freedom?

Hypothesis Tests - 5QB5 - In a two-sample t-test under what condition the follow
04:38

In a two-sample t-test under what condition the following formula is used to pool the standard deviation?

Hypothesis Tests - 5QB6 - In a two-sample t-test under what condition the follow
01:46

In a two-sample t-test, there are two approaches: consider the equal variance and considering the unequal variance. What test is used to check if the variance of the two populations is equal or not?

Hypothesis Tests - 5QB7 - In a two-sample t-test, there are two approaches:
01:52

A two-sample t-test was conducted using Minitab. The value of df has been hidden in the output. What is the value of df in this case?

Hypothesis Tests - 5QB8 - A two-sample t-test was conducted using Minitab.
02:49

From vendor A we test 200 pieces and find 30 defectives. From vendor B we test 100 pieces and we find 10 defectives. To conduct two proportions test, what will be the value of pooled proportion?

Hypothesis Tests - 5QB9 - From vendor A we test 200 pieces and find 30 defective
04:58

From vendor A we test 200 pieces and find 30 defectives. From vendor B we test 100 pieces and we find 13 defectives. Conduct the two proportions test, to check if there is a significant difference in the quality of these two vendors. Use the Confidence level as 95%.

Hypothesis Tests - 5QB10 - From vendor A we test 200 pieces and find 30 defectiv
07:54

How is an F value calculated?

Hypothesis Tests - 5QB11 - How is an F value calculated?
01:11

What attributes control the shape of an F distribution plot?

Hypothesis Tests - 5QB12 - What attributes control the shape of an F distributio
02:04

Use the tables to find F0.01 for an F random variable with df1=8 and df2=13.

Hypothesis Tests - 5QB13 - Use the tables to find F0.01 for an F random
03:14

Use the tables to find F0.95 for an F random variable with df1=13 and df2=8.

Hypothesis Tests - 5QB14 - Use the tables to find F0.95 for an F random variable
02:58

Two random samples taken from two normal populations yielded the following information. Find the F statistic.

Hypothesis Tests - 5QB15 - Two random samples taken from two normal populations
03:21

Two random samples taken from two normal populations yielded the following information. An F Test was conducted with a 95% confidence level to check if the second sample has a higher variation. What will be the critical value of F?

Hypothesis Tests - 5QB16 - Two random samples taken from two normal populations
05:18
+ Solutions: Quiz 6: ANOVA
11 lectures 47:15

Analysis of variance is a statistical method of comparing the ________ of several populations.

ANOVA - 6QA1 - Analysis of variance is a statistical method of comparing the ___
01:37

To test the equality of means of more than 2 populations which of the following techniques is used?

ANOVA - 6QA2 - To test equality of means of more than 2 populations which of the
01:49

What does ANOVA calculate?

ANOVA - 6QA3 - What does ANOVA calculate?
01:39

Three types of batteries were tested for battery life. See the battery lives in the number of hours in the table below.

In constructing the ANOVA table, what will be the values of factor and error degrees of freedom?

ANOVA - 6QA4 - Three types of batteries were tested for the battery life. See th
03:40

Find the missing values from the below one-way ANOVA table.

ANOVA - 6QA5 - Find the missing values from the below one-way ANOVA table.
03:58

What is the value of Adj SS Total in the below one-way ANOVA table?

ANOVA - 6QA6 - What is the value of Adj SS Total in the below one-way ANOVA tabl
03:37

A fair coin is flipped 100 times, and the numbers of heads are counted. This experiment was repeated five times, and the resulted number of heads were: 51, 56, 54, 60 and 50. Is the coin biased? Check with a 95% confidence level.

Goodness of Fit - 5QB1 - A fair coin is flipped 100 times, and the numbers of
08:51

The score of a test is normally distributed with a mean of 70 and a standard deviation of 10. The score of 100 random students is tabulated below. Find the calculated value of Chi-Square value for a Goodness-of-fit test.

Goodness of Fit - 5QB2 - The score of a test is normally distributed with the
04:20

Which of the following tests is used to analyze the results of a contingency table?

Contingency Tables - 5QC1 - Which of the following tests is used to analyze the
03:03

To test the effectiveness of a medicine, 235 patients were administered this medicine. The below table provides the gender vs effectiveness contingency table. What is the probability that it has a negative impact on a male?

Contingency Tables - 5QC2 - To test the effectiveness of a medicine, 235 patient
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To test the effectiveness of a medicine, 235 patients were administered this medicine. The below table provides the gender vs effectiveness contingency table. Is the drug effectiveness dependent upon gender? Test with a 95% confidence level.

Contingency Tables - 5QC3 - To test the effectiveness of a medicine, 235 patient
09:19