Solve the following:
Q1. A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample deviation is 15. Conduct the following test of hypothesis using the .03 significance level.
Ho: µ ≥ 220
H1: µ<220
a. Is this a one or two tail test?
b. What is the decision rule?
c. What is the value of the test statistic?
d. What is your decision regarding Ho?
e. What is the p-value?
Ho: µ≤ 10
H1: µ > 10
a. Is this a one or two tail test?
b. What is the decision rule?
c. What is the value of the test statistic?
d. What is your decision regarding Ho?
e. What is the p-value
Q2. At the time she was hired as a server at the Grumney Family Resturant. Beth Brigden was told , you can average more than $80 a day in tips. Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was $84.85, with a standard deviation of $11.38. At the .01 significance level, can Ms. Brigden conclude that she is earning an average of more than $80 in tips?