A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯ = 880 and the sample standard deviation is s = 5. Use Appendix D to find the values of Student’s t. (a) Construct an interval estimate of μ with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from 877.371 to (b) Construct an interval estimate of μ with 99% confidence, assuming that s = 10. (Round your answers to 3 decimal places.) The 99% confidence interval is from 874.742 to (c) Construct an interval estimate of μ with 99% confidence, assuming that s = 20. (Round your answers to 3 decimal places.) The 99% confidence interval is from 869.484 to (d) Describe how the confidence interval changes as s increases.