Arandom 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.