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In: Statistics and Probability

A random sample of 15 items is drawn from a population whose standard deviation is unknown....

A random sample of 15 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 760 and the sample standard deviation is s = 20. 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 _____ to ______

(b) Construct an interval estimate of μ with 99% confidence, assuming that s = 40. (Round your answers to 3 decimal places.)

The 99% confidence interval is from ____ to ____

(c) Construct an interval estimate of μ with 99% confidence, assuming that s = 80. (Round your answers to 3 decimal places.)

The 99% confidence interval is from _____to ____

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