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QUESTION 2 [20] A simple random sample (SRS) of 100 female diabetics is taken from a total of $N = 768$. The total diastolic blood pressure of the sample is 7007 mmHg with standard deviation 17.5495 mmHg. (a) Estimate the population mean diastolic blood pressure and include an approximate 95% con- fidence interval. (10) (b) Previous experiments suggests that population variance of the diastolic blood pressure $S^2 =$ 370.6284. If the study is within 3 mmHg of the true mean value with 95% confidence interval, what sample size is needed to obtain this bound. Assume $N$ is large. (4) (c) Calculate the margin of error of the estimate of the population total diastolic blood pressure. (6)

          QUESTION 2
[20]
A simple random sample (SRS) of 100 female diabetics is taken from a total of $N = 768$. The total
diastolic blood pressure of the sample is 7007 mmHg with standard deviation 17.5495 mmHg.
(a) Estimate the population mean diastolic blood pressure and include an approximate 95% con-
fidence interval.
(10)
(b) Previous experiments suggests that population variance of the diastolic blood pressure $S^2 =$
370.6284. If the study is within 3 mmHg of the true mean value with 95% confidence interval,
what sample size is needed to obtain this bound. Assume $N$ is large.
(4)
(c) Calculate the margin of error of the estimate of the population total diastolic blood pressure.
(6)

QUESTION 2
[20]
A simple random sample (SRS) of 100 female diabetics is taken from a total of N = 768. The total
diastolic blood pressure of the sample is 7007 mmHg with standard deviation 17.5495 mmHg.
(a) Estimate the population mean diastolic blood pressure and include an approximate 95% con-
fidence interval.
(10)
(b) Previous experiments suggests that population variance of the diastolic blood pressure S^2 =
370.6284. If the study is within 3 mmHg of the true mean value with 95% confidence interval,
what sample size is needed to obtain this bound. Assume N is large.
(4)
(c) Calculate the margin of error of the estimate of the population total diastolic blood pressure.
(6)

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