A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯x¯ = 850 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 μμ with 95% confidence. (Round your answers to 3 decimal places.)   The 95% confidence interval is from  ____to__    (b) Construct an interval estimate of μμ with 95% confidence, assuming that s = 30. (Round your answers to 3 decimal places.)   The 95% confidence interval is from  ___to__  (c) Construct an interval estimate of μμ with 95% confidence, assuming that s = 60. (Round your answers to 3 decimal places.)   The 95% confidence interval is from __ to __   (d) Describe how the confidence interval changes as s increases.

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A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is

x⎯⎯x¯

= 850 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

μμ

with 95% confidence. (Round your answers to 3 decimal places.)
 
The 95% confidence interval is from  ____to__ 
 
(b) Construct an interval estimate of

μμ

with 95% confidence, assuming that s = 30. (Round your answers to 3 decimal places.)
 
The 95% confidence interval is from  ___to__ 
(c) Construct an interval estimate of

μμ

with 95% confidence, assuming that s = 60. (Round your answers to 3 decimal places.)
 
The 95% confidence interval is from __ to __
 
(d) Describe how the confidence interval changes as s increases.

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