Test the appropriate hypotheses. Use the p-value method here. Annual per capita consumption of milk is 21.6 gallons. 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. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City equals to the national mean. Hint: Notice that n=16<30 hence you need to use the t-table. Hence, locate the probability for one (right) tail. You won't get one single value, but a range of possible values. Then multiply it by two (to take into account the left tail) and compare to 0.05. a. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? 2.5 b. At a =.05, test for a significant difference. What is your conclusion? Reject 4

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Test the appropriate hypotheses. Use the p-value method here.
Annual per capita consumption of milk is 21.6 gallons. 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. Develop a hypothesis test that can be used to determine
whether the mean annual consumption in Webster City equals to the national mean.
Hint: Notice that n=16<30 hence you need to use the t-table. Hence, locate the probability
for one (right) tail. You won't get one single value, but a range of possible values. Then
multiply it by two (to take into account the left tail) and compare to 0.05.
a. What is a point estimate of the difference between mean annual consumption in
Webster City and the national mean? 2.5
b. At a =.05, test for a significant difference. What is your conclusion? Reject
Transcribed Image Text:Test the appropriate hypotheses. Use the p-value method here. Annual per capita consumption of milk is 21.6 gallons. 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. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City equals to the national mean. Hint: Notice that n=16<30 hence you need to use the t-table. Hence, locate the probability for one (right) tail. You won't get one single value, but a range of possible values. Then multiply it by two (to take into account the left tail) and compare to 0.05. a. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? 2.5 b. At a =.05, test for a significant difference. What is your conclusion? Reject
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