Question: A simple random sample of size n is drawn from a populationt that normally distributed. The sample meanis found to be 108, and the sample

  1. A simple random sample of size n is drawn from a populationt that normally distributed. The sample meanis found to be 108, and the sample deviation is found to be 10.

a. Construct a 96% confidence interval about u if the sample is size is 25.

b.Construct a 96% confidence interval about u if the sample is size is 10.

c. Compare your results from parts a and b. How does the decreasing the sample size effect the margin of error?

2.A simple random sample of size n is drawn. The sample mean is found to be 18.4, and the sample standard deviation is found to be 4.5.

a. Construct a 95% confidence interval about u if the smaple is size is 25.

b.Construct a 95% confidence interval about u if the smaple is size is 50.

c. Compare your results from parts a and b. How does the increasing the sample size effect the margin of error?

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