At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden...
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?
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
What is the p-value? (Round your answer to 4 decimal places.)
Homework Answers
Solution :
The null and alternative hypothesis is ,
H0 : 
= 83
Ha :
> 83
Test statistic = z =
= (
- 
) / 
/ 
n
= (84.46 - 83) / 4.07 /
45
Test statistic = z = 2.41
This is the right tailed test,
P(Z > 2.41 ) = 1-P (Z < 2.41) = 1 - 0.9920
P-value = 0.0080
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