A random sample of 100 items is drawn from a population whose standard deviation is known to be σ = 50. The sample mean is x⎯⎯x¯ = 850. (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.   multiple choice a)The interval stays the same as σ increases. b)The interval gets wider as σ increases. c)The interval gets narrower as σ increases. d)The interval gets wider as σ decreases.

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