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One Sample Hypothesis Testing on Average Weekly Tips

by | Nov 30, 2023 | Posted Questions

One Sample Hypothesis Testing on
Average Weekly Tips

At the time she was hired as a
server at the Grumney Family Restaurant, Beth Brigden was told, “You can
average $72 a day in tips.” Assume the population of daily tips is
normally distributed with a standard deviation of $2.45. Over the first 34 days
she was employed at the restaurant, the mean daily amount of her tips was
$73.07. At the .10 significance level, can Ms. Brigden conclude that her daily
tips average more than $72?

(a) State the null hypothesis and
the alternate hypothesis.

(b) State the decision rule.

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

(d) What is your decision
regarding H0?

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

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