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A random sample of 23 items is drawn from a population whose standard deviation is unknown....

A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯x¯ = 770 and the sample standard deviation is s = 25. Use Appendix D to find the values of Student’s t.

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

(b) Construct an interval estimate of μ with 95% confidence, assuming that s = 50. (Round your answers to 3 decimal places.)
  
The 95% confidence interval is from  to

(c) Construct an interval estimate of μ with 95% confidence, assuming that s = 100. (Round your answers to 3 decimal places.)
  
The 95% confidence interval is from  to

(d) Describe how the confidence interval changes as s increases.
  

  • The interval stays the same as s increases.

  • The interval gets wider as s increases.

  • The interval gets narrower as s increases.

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