A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 ​nonprofits, the mean​ one-time gift donation in the past year was $31​, with a standard deviation of ​$9. Complete parts a and b below.   a. Construct a 99​% confidence interval estimate for the population​ one-time gift donation.   ____≤μ≤_____ ​(Type integers or decimals rounded to two decimal places as​ needed.)   b. Interpret the interval constructed in​ (a).   Choose the correct answer below.     A. The quality improvement team can be 99​% confident that the new population mean turnaround time is the midpoint of the confidence interval.   B. The quality improvement team can be completely sure that the new population mean turnaround time is contained within the confidence interval.   C. The quality improvement team can be completely sure that the new population mean turnaround time is the midpoint of the confidence interval.   D. The quality improvement team can be 99​% confident that the new population mean turnaround time is contained within the confidence interval.

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