Question: Problem 1: Suppose that X1, X2, ..., Xn is a sample from a normal distribution with unknown variance and confidence intervals are calculated from this

Problem 1: Suppose that X1, X2, ..., Xn is a sample from a normal distribution with unknown variance and confidence intervals are calculated from this sample for various confidence levels. List all correct statements: (a) Confidence interval is centered at population mean. (b) Confidence interval is centered at sample mean. (c) If the confidence level is 0.95, then the probability that confidence interval contains population mean is 95%. (d) If the confidence level is 0.95, then the probability that confidence interval contains sample mean is 95%. If I0.92 and I0.95 are confidence intervals calculated for confidence levels of 0.92 and 0.95 respectively, then (e) I0.92 is a subset of I0.95. (f) I0.95 is a subset of I0.92.

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