INSTRUCTIONS: For written questions, show all of your work. No credit will be given for answers without justification. Do not use MINITAB for a question unless it specifically says to do so. Relevant MINITAB output should be attached to the assignment. Scan your answer sheet as a single PDF file (with correct page order) and submit it to cuLearn. 1. A federal agency responsible for enforcing laws concerning weights and measures routinely inspects packages to determine whether the weight of the contents is at least as great as that advertised on the package. A simple random sample of 25 observations of a product whose container claims that the net weight is 10 ounces yielded a mean of 9.48 ounces and a variance of 1.43 ounces?. Do these data provide sufficient evidence to enable the agency to conclude that the true mean net weight is lower than the net weight indicated on the container? Use a=0.05. Give the conditions under which this test is valid. 2. A research manager at Coca-Cola claims that the true proportion, p, of cola drinkers that prefer Coca-Cola over Pepsi is greater than 0.50. In a consumer taste test, 100 randomly selected people were given blind samples of Coca-Cola and Pepsi. 58 of these subjects preferred Coca-Cola. Is there sufficient evidence at the 5% level of significance to validate Coca-Cola's claim? Conduct an appropriate hypothesis test using (i) the p-value method and (ii) the rejection point method