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A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group A B C n 30 30 30 I 48 51 54 $ 7 8 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of a = 0.05.

A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group A B C n 30 30 30 I 48 51 54 $ 7 8 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of a = 0.05.

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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A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group 30 48 51 8. 30 54 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of a = 0.05. (a) How many t-tests will need to be conducted for the manager's investigation? List the pairs of groups for each test.
Transcribed Image Text:A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group 30 48 51 8. 30 54 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of a = 0.05. (a) How many t-tests will need to be conducted for the manager's investigation? List the pairs of groups for each test.
(c) Determine the family error rate for the number of t-tests identified in part (a), each conducted at a level of a = 0.05. Show your work.
Transcribed Image Text:(c) Determine the family error rate for the number of t-tests identified in part (a), each conducted at a level of a = 0.05. Show your work.
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