A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean μ=880 and the sample standard deviation is s=5.
(a) Construct an interval estimate of μ with 99 percent confidence. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.)
(b) Construct an interval estimate of μ with 99 percent confidence, assuming that s=10. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.)
(c) Construct an interval estimate of μ with 99 percent confidence, assuming that s=20. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.)