At the time he was hired as a server at the Family Restaurant, Bob was told, "You can average more than $20 a day in tips." Over the first 36 days he was employed at the restaurant, the mean daily amount of his tips was $24.85 with a standard deviation of $3.24. With a 1% (or .01) Level of Significance, can Bob conclude that he is probably earning more that $20 per day in tips?
a. Please state the null and alternative hypothesis in symbols and in words. (Hint: Ho: mu <= $20 per day)
b. What is the z score calculated using the sample and population information? (Hint: When you don't have the population standard deviation you can substitute the SAMPLE standard deviation.)
c. What is the P-value (i.e. the area underneath the curve ABOVE the z-score calculated in part b)
d. Compare the P-value to the Level of Significance. Do you accept or reject Ho.