A medical center wishes to test the claim that there is a difference between two different over-night| delivery companies with respect to the speed with which they deliver the items. The average speed of delivery over a 40 day period is shown below: Company A x=14 Company B X; =16 S = 2.9 S =3.1 n = 40 n; = 40 a) Construct a 98% confidence interval for the true mean difference in average delivery times between the two companies. b) Using a = 0.05, is there enough evidence to support the claim that there is a difference between the average delivery times for the two companies? Find the p-value for the test.

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Author:Amos Gilat
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A medical center wishes to test the claim that there is a difference between two different over-night|
delivery companies with respect to the speed with which they deliver the items. The average speed of
delivery over a 40 day period is shown below:
Company A
x=14
Company B
Xz =16
S = 2.9
SB
= 3.1
n = 40
n; = 40
%3D
a) Construct a 98% confidence interval for the true mean difference in average delivery times between
the two companies.
b) Using a = 0.05, is there enough evidence to support the claim that there is a difference between the
average delivery times for the two companies? Find the p-value for the test.
Transcribed Image Text:A medical center wishes to test the claim that there is a difference between two different over-night| delivery companies with respect to the speed with which they deliver the items. The average speed of delivery over a 40 day period is shown below: Company A x=14 Company B Xz =16 S = 2.9 SB = 3.1 n = 40 n; = 40 %3D a) Construct a 98% confidence interval for the true mean difference in average delivery times between the two companies. b) Using a = 0.05, is there enough evidence to support the claim that there is a difference between the average delivery times for the two companies? Find the p-value for the test.
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