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(Solved by Expert Tutors) At the time she was hired as a server at the


At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, ?You can average $83 a day in tips.? Assume the population of daily tips is normally distributed with a standard deviation of $4.07. Over the first 45 days she was employed at the restaurant, the mean daily amount of her tips was $84.86. At the 0.05 significance level, can Ms. Brigden conclude that her daily tips average more than $83?

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a. State the null hypothesis and the alternate hypothesis.
? ?
?
H0: ? ? 83 ;?H1: ? > 83
H0: ? ? 83 ;?H1: ? < 83
H0: ? >83 ;?H1: ? = 83
H0: ? = 83 ;?H1: ? ? 83

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b. State the decision rule.
? ?
?
Reject?H1?if z > 1.65
Reject?H0?if z < 1.65
Reject?H1?if z < 1.65
Reject?H0?if z > 1.65

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c. Compute the value of the test statistic.?(Round your answer to 2 decimal places.)

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??Value of the test statistic ??

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d. What is your decision regarding?H0?
? ?
?
Reject?H0
Do not reject?H0

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e. What is the?p-value??(Round your answer to 4 decimal places.)

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??p-value ??


 


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Apr 19, 2020

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