Annual per capita consumption of milk is 24.1 gallons. Being from the Midwest, you believe milk consumption is lower there and wish to support your opinion. A sample of 16 Individuals from the midwestern town of Webster City showed a sample mean annual consumption of 21.6 gallons with a standard deviation of s=4.8.
a. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is lower than the national mean.
b. What are the value of the test statistics and the critical value (use absolute values)?
c. At (\alpha=.05\), test for a significant difference. What is your conclusion?