A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 10.6,10.9,10.7, and 10.8 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.
a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)
b. Does the interval capture 10 pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10 pounds? Explain your answer.
Extracted text: A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 10.6, 10.9, 10.7, and 10.8 pounds. O 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. A. There is a 95% chance that all intervals will be between and B. We are 95% confident that the sample mean is between and C. We are 95% confident the population mean is between and O D. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.) b. Does the interval capture 10 pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10 pounds? Explain your answer. A. Yes, it does capture 10. Do not reject the claim of 10 pounds because 10 is in the interval. B. No, it does not capture 10. Do not reject the claim of 10 pounds because 10 is not in the interval. C. Yes, it does capture 10. Reject the claim of 10 pounds because 10 is in the interval. O D. No. it does not capture 10. Reiect the claim of 10 pounds because 10 is not in the interval. O O C