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

a. Based on this sample, is there any reason to doubt that the population mean is at least 113 g?
b. Suppose that the population mean is actually 110 g and that the distribution is normal with standard deviation 4 g. Based on a z test of H₀: μ = 113 against H_a: μ < 113 with α = .05, find the probability of rejecting H₀ with six observations.
c. Under the conditions of part (b) with α = .05, how many more observations would be needed in order for the power to be at least .95?

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117.6 109.5 111.6 109.2 119.1 110.8