The blood pressure of a person changes throughout the day. Suppose the systolic

Question

The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of a person is measured 36 times over several days and the standard deviation of these measurements for the person is known to be ? = 9.8 mmHg. Let ? be the true average blood pressure for that person and let LaTeX: ar x x ¯ = 87 be the average of the 36 measurements. Find a lower-bound 90% confidence interval for ?. One can be 90% confident that the true average blood pressure ? for that person is at least Round your answer to the nearest 0.0001.

Explanation / Answer

Ans:

Given that

population standard deviation=9.8

sample size,n=36

sample mean=87

z value(lower tailed) for 90% confidence level=-1.282

lower Confidence bound=87-1.282*9.8/sqrt(36)=5=84.9061

(if exact z value has to be used then answer will be 84.9068)

(true anerage blood pressure is atleast 84.9061)

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