A McDonald's fact sheet says their cones should weigh 3.18 ounces (converted from grams). Suppose you take a random sample of four cones, and the weights are 4.2, 3.4, 3.9, and 4.4 ounces. Assume that the population distribution is Normal, and, for all three parts, report the alternative hypothesis, the t-value, the p-value, and your conclusion. The null hypothesis in all three cases is that the population mean is 3.18 ounces.
a. Test the hypothesis that the cones do not have a population mean of 3.18 ounces.
b. Test the hypothesis that the cones have a population mean less than 3.18 ounces.
c. Test the hypothesis that the cones have a population mean greater than 3.18 ounces.