Annual per capita consumption of milk is 21.6 gallons (Statistical abstract of the United States: 2006) Being from the midwest, you believe milk consumption is higher there and wish to support your opinion. A sample of 16 Individuals from the midwestern town of Webster City showed a sample of 16 individuals from the midwestern town of Webster City showed a sample mean annual consumption of 24.1 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 higher than the national mean.
b. What is the point estimte of the difference between mean annual consumption in Webster City and the national mean?
c. At \(\alpha=.05\), test for a significant dfference. What is your conclusion?