Question

A statistics instructor randomly selected four bags of​ oranges, each bag labeled 10​ pounds, and weighed the bags. They weighed 9.7​, 9.1​, 9.2​, and 9.3 pounds. Assume that the distribution of weights is Normal. Find a​ 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. Part A: Choose the correct interpretation of the confidence interval below​ and, if​ necessary, fill in the answer boxes to complete your choice. A. We are​ 95% confident that the sample mean is ___ and ___. B. We are​ 95% confident the population 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.

Answer 1

s.no	x	(x- x bar)^2
1	9.7	0.140625
2	9.1	0.050625
3	9.2	0.015625
4	9.3	0.000625
sum	37.3	0.2075
Mean	9.325

B. We are​95% confident the population mean is between 8.9065 and 9.7435.

B. We are​95% confident the population mean is between __8.91_ and _9.74__.