27. On the label, Pepperidge Farm bagels are said to weigh four ounces each (113 grams).Arandom sample of six bagels resulted in the following weights

(in grams):

117.6 109.5 111.6 109.2 119.1 110.8

a. Based on this sample, is there any reason to doubt that the population mean is at least 113 grams?

b. Assume that the population mean is actually 110 grams and that the distribution is normal with standard deviation 4 grams. In a z test of H0: m 

113 against Ha: m  113 with a  .05, nd the probability of rejecting H0 with six observations.

c. Under the conditions of part

(b) with a  .05, how many more observations would be needed in order for the power to be at least .95?