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Question

The distributions of systolic and diastolic blood pressures for female diabetics between the ages of 30 and 34

have unknown means. However, their standard deviations are σs = 11.8 mm Hg and σd = 9.1 mm Hg, respectively. (a) A random sample of twelve women is selected from this population. The mean diastolic blood pressure for the sample is ¯xd = 84 mm Hg.

Calculate a two sided 95% confidence interval for µd, the true mean diastolic blood pressure.

(b) Interpret this confidence interval.

(c) The mean systolic blood pressure for the sample of size 12 is ¯xs = 130 mm Hg. Find a two-sided 90% confidence interval for µs, the true mean systolic blood pressure of the population.

(d) Calculate a two-sided 99% confidence interval for µs. (e) How does the 99% confidence interval compare to the 90% interval?

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