CCN and Act-Media provided a television channel targeted to individuals waiting in supermarket checkout lines. The population means the time a shopper stands in a supermarket checkout line is 8 minutes, and it is normally distributed. A sample of 120 shoppers showed a sample mean waiting time of 8.4 minutes. Assume the population standard deviation (σ) is 3.2 minutes and the marketing team is willing the test the following hypotheses. Ho: μ ≤ 8 Ha: μ > 8   a) Decide the appropriate type of testing based on above hypotheses and calculate the test statistics. b) What is the p-value?  c) At α =.01 level of significance, what is your conclusion?

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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CCN and Act-Media provided a television channel targeted to individuals waiting in supermarket checkout lines. The population means the time a shopper stands in a supermarket checkout line is 8 minutes, and it is normally distributed. A sample of 120 shoppers showed a sample mean waiting time of 8.4 minutes. Assume the population standard deviation (σ) is 3.2 minutes and the marketing team is willing the test the following hypotheses.

Ho: μ ≤ 8

Ha: μ > 8

 

a) Decide the appropriate type of testing based on above hypotheses and calculate the test statistics.

b) What is the p-value? 

c) At α =.01 level of significance, what is your conclusion? 

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