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In: Statistics and Probability

Safegate Foods, Inc. is redesigning the checkout lanes in its supermarkets and is considering two designs....

Safegate Foods, Inc. is redesigning the checkout lanes in its supermarkets and is considering two designs. Samples on customer checkout times gathered from stores where the new systems were installed result in the following data summary. Design 1 (population 1) Design 2 (population 2) n1 = 100 n2 = 120 mean1 = 3.4 minutes mean2 = 4.1 minutes σ1 = 1.5 minutes σ2 = 2.2 minutes They want to determine if the mean checkout times differ as shown by the following null and alternative hypotheses. H0: µ1 - µ2 = 0 Ha: µ1 - µ2 ≠ 0

A. What is the estimate of the mean difference? Round your answer to 1 decimal place.
B. What is the margin of error in the 90% confidence interval for this mean difference?Round your answer to 3 decimal places.
C.What is the margin of error in the 95% confidence interval for this mean difference?Round your answer to 3 decimal places.
D.What is the margin of error in the 99% confidence interval for this mean difference?Round your answer to 3 decimal places.
E.What is the z-value for this hypothesis test? Round your answer to 2 decimal places.
F.What is the p-value for this hypothesis test? Round your answer to 4 decimal places.

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orchestra answered 1 year ago
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