At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, You can average $89 a day in tips Assume the population of daily tips is normally distributed with a standard deviation of $2 81 Over the first 40 days she was employed at the restaurant, the mean daily amount of her tips was $92 66 At the 0 01 significance level, can Ms Brigden conclude that her daily tips average more than $89 a State the null hypothesis and the alternate hypothesis H 0 89 H 1 89 H 0 89 H 1 89 H 0 89 H 1 89 H 0 89 H 1 89 b State the decision rule Reject H 1 if z 2 33 Reject H 1 if z 2 33 Reject H 0 if z 2 33 Reject H 0 if z 2 33 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 regarding H 0 Reject H 0 Do not reject H 0 e What is the p value (Round your answer to 4 decimal places ) p value

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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 $89 a day in

At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $89 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $2.81. Over the first 40 days she was employed at the restaurant, the mean daily amount of her tips was $92.66. At the 0.01 significance level, can Ms. Brigden conclude that her daily tips average more than $89?

State the null hypothesis and the alternate hypothesis.

H₀: >89 ; H₁: = 89

H₀: = 89 ; H₁: 89

H₀: 89 ; H₁: > 89

H₀: 89 ; H₁: < 89

State the decision rule.

Reject H₁ if z > 2.33

Reject H₁ if z < 2.33

Reject H₀ if z < 2.33

Reject H₀ if z > 2.33