At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $80 a day in tips." Assume the population ofdaily tips is normally distributed with a standard deviation of $9.95. Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was $84.85. At the .01 significance level, can Ms. Brigden conclude that her daily tips average more than $80?

Given the following hypotheses:

H0: =400

H1: 400

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation was 6. Using the 0.1 significance level:

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

The management of White Industries is considering a new method of assembling its golf cart. The present method requires a mean time of 42.3 minutes to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the 0.1 level of significance, can we conclude that the assembly time using the new method is faster?

The producers of "Bachelor" expected 45% of the TV viewing office to watch the season finale of the last series. A sample of 200 homes revealed 80 watched the last episode. At the 0.05 significance level does the sample suggest that fewer than 45% of the viewing office watched the final episode?