The manager of a Kroger grocery store claims a membership card will save consumers more than $15 per week on average. To check this claim, a random sample of 12 shoppers with membership cards was obtained and their weekly grocery bills were inspected. Suppose the sample mean was $16.35 and the sample standard deviation was $3.20. Assume the distribution of savings is normal. a. Check the necessary assumptions and conditions for doing this test. b. What are the appropriate hypotheses to test the claim? c. Calculate the appropriate test statistic and p-value. d. What is the 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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The manager of a Kroger grocery store claims a membership card will save consumers more
than $15 per week on average. To check this claim, a random sample of 12 shoppers with
membership cards was obtained and their weekly grocery bills were inspected. Suppose the
sample mean was $16.35 and the sample standard deviation was $3.20. Assume the
distribution of savings is normal.
a. Check the necessary assumptions and conditions for doing this test.
b. What are the appropriate hypotheses to test the claim?
c. Calculate the appropriate test statistic and p-value.
d. What is the conclusion?
Transcribed Image Text:The manager of a Kroger grocery store claims a membership card will save consumers more than $15 per week on average. To check this claim, a random sample of 12 shoppers with membership cards was obtained and their weekly grocery bills were inspected. Suppose the sample mean was $16.35 and the sample standard deviation was $3.20. Assume the distribution of savings is normal. a. Check the necessary assumptions and conditions for doing this test. b. What are the appropriate hypotheses to test the claim? c. Calculate the appropriate test statistic and p-value. d. What is the conclusion?
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