A marketing executive wants to understand the differences in customer satisfaction scores between two companies offering the same service. The executive collects the following data for customer satisfaction. Assume the two populations have the same variance.  Assuming that the two populations have equal variances, what is the critical t-value for a 99% confidence interval (same as for a two-sided test at a 1% significance level) for the difference between the population means? Round your answer to three decimal places.  Assuming equal variances, what is the standard error of the difference in sample means (the standard deviation of the sample mean from company 1 minus the sample mean from company 2)? Round your answer to three decimal places.    Company 1 Company 2 1 4 7 1 10 0 3 2 7 0 8 2 3 2 6 3 7 2 1 2 7 4 9 6 9 3 4 0 10 2 8 1 9 10 8 7 5 0 10 1 2 4 3 7 2 0 9 10 8 1 3 3 5 2 8 2 9 10 7 6 4 8 4 3 1 5 0 4 5 2

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 marketing executive wants to understand the differences in customer satisfaction scores between two companies offering the same service. The executive collects the following data for customer satisfaction. Assume the two populations have the same variance. 

Assuming that the two populations have equal variances, what is the critical t-value for a 99% confidence interval (same as for a two-sided test at a 1% significance level) for the difference between the population means? Round your answer to three decimal places. 

Assuming equal variances, what is the standard error of the difference in sample means (the standard deviation of the sample mean from company 1 minus the sample mean from company 2)? Round your answer to three decimal places. 

 
Company 1 Company 2
1 4
7 1
10 0
3 2
7 0
8 2
3 2
6 3
7 2
1 2
7 4
9 6
9 3
4 0
10 2
8 1
9 10
8 7
5 0
10 1
2 4
3 7
2 0
9 10
8 1
3 3
5 2
8 2
9 10
7 6
4 8
4 3
1 5
0 4
5 2
 
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