Jill and buster both produce nuts and coffee. they each prefer to consume a diet that is half nuts and half coffee. both have access to the same resources. if jill focuses on producing only coffee, she can produce 20 pounds of coffee in a week. if she only produces nuts, she can produce 40 pounds of nuts in a week. buster can produce a maximum of 15 pounds of coffee in a week. he could also choose to produce only nuts, in which case he can produce 20 pounds of nuts a week.

The average u.s. household has $178,600 in life insurance. the standard deviation is $25,500. a local insurance agent would like to see how households in his city compare to the national average, and selects a simple random sample of 30 households from the city. for the households in the city, the average amount of life insurance is $188,800. a. based on the sample results, construct a 95% confidence interval for the true average amount of life insurance for households in the city. b. test the h0 : $178,600 ? ? to determine if the city's sample average is significantly different from the u.s. average amount of life insurance per household. use the conventional levels of significance.