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2. Ashley wishes to see if her ballroom dance classes, or her swing dance classes are more popular. Sampling 27 ballroom classes gives an average of 34.3 people in attendance with a standard deviation of 4.5 people, while a random sample of 27 swing classes gives an average of 30.7 people with a standard deviation of 2.3 people. Assume the two classes are independent. For each of the questions below, use a significance level of 0.01. a) Determine whether the population variances of the two classes are different. b) Based on your answer to part a), use the appropriate hypothesis test to determine if the mean class attendance differs between the two classes. c) Repeat part b with the other situation (in other words, assume the opposite of your conclusion for part a is true).How does your answer change based on what you know about the variance?

2. Ashley wishes to see if her ballroom dance classes, or her swing dance classes are more popular. Sampling 27 ballroom classes gives an average of 34.3 people in attendance with a standard deviation of 4.5 people, while a random sample of 27 swing classes gives an average of 30.7 people with a standard deviation of 2.3 people. Assume the two classes are independent. For each of the questions below, use a significance level of 0.01. a) Determine whether the population variances of the two classes are different. b) Based on your answer to part a), use the appropriate hypothesis test to determine if the mean class attendance differs between the two classes. c) Repeat part b with the other situation (in other words, assume the opposite of your conclusion for part a is true).How does your answer change based on what you know about the variance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Ashley wishes to see if her ballroom dance classes, or her swing dance classes are more popular. Sampling 27 ballroom classes gives an average of 34.3 people in attendance with a standard deviation of 4.5 people, while a random sample of 27 swing classes gives an average of 30.7 people with a standard deviation of 2.3 people. Assume the two classes are independent. For each of the questions below, use a significance level of 0.01. a) Determine whether the population variances of the two classes are different. b) Based on your answer to part a), use the appropriate hypothesis test to determine if the mean class attendance differs between the two classes. c) Repeat part b with the other situation (in other words, assume the opposite of your conclusion for part a is true).How does your answer change based on what you know about the variance?
Transcribed Image Text:2. Ashley wishes to see if her ballroom dance classes, or her swing dance classes are more popular. Sampling 27 ballroom classes gives an average of 34.3 people in attendance with a standard deviation of 4.5 people, while a random sample of 27 swing classes gives an average of 30.7 people with a standard deviation of 2.3 people. Assume the two classes are independent. For each of the questions below, use a significance level of 0.01. a) Determine whether the population variances of the two classes are different. b) Based on your answer to part a), use the appropriate hypothesis test to determine if the mean class attendance differs between the two classes. c) Repeat part b with the other situation (in other words, assume the opposite of your conclusion for part a is true).How does your answer change based on what you know about the variance?
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