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A random sample of 175 items is drawn from a population whose standard deviation is known...

A random sample of 175 items is drawn from a population whose standard deviation is known to be σ = 50. The sample mean is x¯x¯ = 920.

(a)

Construct an interval estimate for μ with 95 percent confidence. (Round your answers to 1 decimal place.)

  The 95% confidence interval is from  to
(b)

Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 100. (Round your answers to 1 decimal place.)

  The 95% confidence interval is from  to
(c)

Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 200. (Round your answers to 1 decimal place.)

  The 95% confidence interval is from  to
(d) Describe how the confidence interval changes as σ increases.
The interval stays the same as σ increases.
The interval gets wider as σ increases.
The interval gets narrower as σ increases.
The interval gets wider as σ decreases.
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