Answered: Grocery store customers do not like…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 3GP

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Question

Grocery store customers do not like waiting in the check-out line. A particular grocery store chain would like to insure that, on average, customers do not have to wait in line longer than 5 minutes. To test this, customers were randomly selected and the time they had to wait in the check-out line was recorded. Sample results are provided below: Sample size: 51 customers Sample mean: 5.9 minutes Sample standard deviation: 2.8 minutes Your task is to complete the appropriate Hypothesis Test to determine if the mean check-out line wait time is more than 5 minutes. Use \alpha =.05 throughout. Step 1: State the null and alternative hypotheses that you would use to test if the mean check-out line wait time is more than 5 minutes. Step 2: What distribution/model should be use to conduct this hypothesis test? (If using statistical features on your calculator then what test did you use?) Step 3: Provide the Test Statistic. Step 4: Provide the p-value. Step 5: Should the null hypothesis be rejected? Yes or No? Step 6: Write a sentence summarizing, in the context of this question, your result.

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