per trip. One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution. a. Specify the null and alternative hypotheses to test whether average spending at the rival's store is more than $130. b. Calculate the value of the test statistic and the p-value. C. At the 5% significance level, what is the conclusion to the test?

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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23. Customers at Costco spend an average of $130 per trip. One of Costco's rivals would like to determine whether its
customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25.
Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.
a. Specify the null and alternative hypotheses to test whether average spending at the rival's store is more than $130.
b. Calculate the value of the test statistic and the p-value.
C. At the 5% significance level, what is the conclusion to the test?
Transcribed Image Text:23. Customers at Costco spend an average of $130 per trip. One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution. a. Specify the null and alternative hypotheses to test whether average spending at the rival's store is more than $130. b. Calculate the value of the test statistic and the p-value. C. At the 5% significance level, what is the conclusion to the test?
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