Question
he body temperature (in degrees F) of 20 individuals was measured:101.8, 98.3, 95.9, 97.5, 99.4, 97.3, 98.2, 103.8, 101.0,97.2, 100.2, 100.3, 96.8, 96.5, 97.9, 99.4,
he body temperature (in degrees F) of 20 individuals was measured:101.8, 98.3, 95.9, 97.5, 99.4, 97.3, 98.2, 103.8, 101.0,97.2, 100.2, 100.3, 96.8, 96.5, 97.9, 99.4, 97.8, 93.5,99.7, 99.2(a) Compute a 90% confidence interval for, the population mean temperature (i.e. themean of the distribution used to model temperature of individuals in a large population).State all assumptions made and interpret the interval.(b) If three of the individuals whose temperature was measured are a father and his two sons, explain why it may be unreasonable to assume thatx1,...,x20are a realization of a random sample from a distribution (e.g. from N(,)).(c) Would a 99% confidence interval forcomputed for these measurements be wider than the 90% confidence interval forcomputed above?(d) If this sampling experiment were to be independently repeated, many times, what pro-portion of the resulting 90% confidence intervals would you expect to contain?
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