At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $75 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $4.27. Over

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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At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $75 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $4.27. Over the first 37 days she was employed at the restaurant, the mean daily amount of her tips was $76.10. At the 0.05 significance level, can Ms. Brigden conclude that her daily tips average more than $75?

 

a.State the null hypothesis and the alternate hypothesis.

 

b.State the decision rule.

 

c.Compute the value of the test statistic.

 

d.What is your decision regarding H0?

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