A statistics instructor randomly selected four bags oforanges, each bag labeled 10pounds, and weighed the bags. They weighed 10.6, 10.6, 10.7, and 10.9 pounds. Assume that the distribution of weights is Normal. Find a95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.

A.

a. We are 95% confident the population is between and .

b. We are 95% confident that the sample mean is between and .

c. There is a 95% chance that all intervals will be between and .

d. The requirements for constructing a confidence interval are not satisfied.

B. Does the interval capture 10pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10pounds? Explain your answer.

a. Yes, it does capture 10. Reject the claim of 10 pounds because 10 is in the interval.

b. No, it does not capture 10. Reject the claim of 10 pounds because 10 is not in the interval.

c. Yes, it does capture 10. Do not reject the claim of 10 pounds because 10 is in the interval.

d. No, it does not capture 10. Do not reject the claim of 10 pounds because 10 is not in the interval.