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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 $83 a day in

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?

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

b. State the decision rule.
RejectH1if z > 1.65
RejectH0if z < 1.65
RejectH1if z < 1.65
RejectH0if z > 1.65

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

Value of the test statistic

d. What is your decision regardingH0?
RejectH0
Do not rejectH0

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

p-value

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