1. A stock broker knows that the end-of-year balance X (percent of the January 1 balance) in the client,s account has a distribution with mean μ percent and standard deviation σ = 10. The broker collected a sample of 49 clients and the sample mean x was found to be 100 percent. In this question and the next two, we compute a 99 percent confidence interval for the mean balance μ. Find the margin of error at a 99 percent confidence level.

MOE=

2. Using the information from Question 1, find the left end point of the confidence interval of the mean balance μ.

LEP=

3. Using the information from Question 1, find the right end point of the confidence interval of the mean balance μ.

REP=

4. The length of a certain species of animal has a distribution with mean μ and standard deviation σ = 13.5. To estimate the mean μ of a herd, you have collected a sample of size 87 and the sample mean x was found to be 68 inches.In this question and the next two, we compute a 96 percent confidence interval for the mean length μ of the herd. Find the margin of error at a 96 percent confidence level.

MOE=

5. Using the information from Question 4, find the left end point of the confidence interval of mean length μ of the herd.

LEP=

6. Using the information from Question 4, find the right end point of the confidence level of mean length μ of the herd.

REP=

7. The time X taken for a KU student to drive to the campus has distribution with mean μ minutes and and standard deviation σ = 7.5 minutes. To estimate the mean time μ, a sample of size 116 was collected and the sample mean x was found to be 22 minutes.In this question and the next two, we compute a 98 percent confidence interval for the mean time μ. Find the margin of error at a 98 percent level of confidence.

MOE=

8. Using the information from Question 7, find the left end point of the confidence interval of the mean time μ.

LEP=

9. Using the information from Question 7, find the right end point of the confidence level of the mean time μ.

REP=