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A random sample of 16 items is drawn from a population whose standard deviation is unknown. The sample mean is = 890 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t.
(a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.)
(b) Construct an interval estimate of u with 95% confidence, assuming that s= 30. (Round your answers to 3 decimal places.)
(c) Construct an interval estimate of u with 95% confidence, assuming that s= 60. (Round your answers to 3 decimal places.)
(d) Describe how the confidence interval changes as s increases.
A. The interval stays the same as s increases.
B. The interval gets wider as s increases.
C. The interval gets narrower as s increases