1. The milkshake mix used at the Mesquite Paradise Drive-In is prepared in five-gallon cans by a local diary. These cans were ordered to the specification that they have an average of 180 ounces of butterfat. There is some concern that the milk shake might contain less than 180 ounces of butterfat. You decide to do a quality control inspection, and arrange for the random sampling of 50 cans. These 50 cans had an average butterfat volume of 173.5 ounces, with a sample standard deviation of 21 ounces. (a) Can you decide that the population mean is below 180 ounces? (Help: The alternative hypothesis should be that the population mean is below 180 ounces. Use 5% significance level.) (b) Can you decide that the population mean is below 180 ounces at 1% significance level? (c) Calculate the p-value for this test