## . An admissions officer has determined that the population of applicants to the MBA program has undergraduate GPAâ€™s that are approximately

Question

. An admissions officer has determined that the population of applicants to the MBA program has undergraduate GPAâ€™s that are approximately normally distributed with standard deviation .45. A random sample of 25 applicants for next fall has a sample mean GPA of 3.30. Find the 95% confidence interval for the mean GPA among applicants to this MBA.

2. A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the standard deviation of weights is 5.5 ounces. (This standard deviation is therefore known.) How large a sample would be required in order for the 99% confidence interval for to have a length of 2 ounces?

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2 weeks 2021-11-22T01:07:01+00:00 1 Answer 0

Step-by-step explanation:

a) Let X be the population of applicants to the MBA program has undergraduate GPAâ€

X is N(mu,0.45)

Sample size n = 3.3 Since population std dev is known z value can be used

Margin of error = Confidence interval = b) X weight of containers is N(mu,0.5.5)

Sample size n = ?

Since population std dev is known z value can be used

Margin of error = n=51