When 14 different secondyear medical students measured the s

When 14 different second-year medical students measured the systolic blood pressure of the same person, they obtained the results listed below (in mmHg). Assuming that the population standard deviation is known to be 10 mmHg, use a 0.05 significance level to test the claim that the mean blood pressure level is less than 140 mmHg. Hypertension is defined to be a blood pressure level that is too high because it is 140mmHg or greater. Assume the blood pressure levels are normally distributed. Based on the hypothesis test results, can it be safely concluded that the person does not have hypertension?

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answer the question!

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Identify the null hypothesis and alternative hypothesis. H0 : mu = 140 versus H1 : mu 140 Identify the test statistic. (Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places.) Identify the P-value. The P-value is (Round to four decimal places as needed.) What is the final conclusion? OA. Fail to reject HQ . There is not sufficient evidence to support the claim. O B. Reject H0 . There is not sufficient evidence to support the claim. Oc. Reject HQ . There is sufficient evidence to support the claim. O D. Fail to reject H0 . There is sufficient evidence to support the claim. Can it be safely concluded that the person does not have hypertension?

Solution

(a) A

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(b)

Z=(xbar-mu)/(s/vn)

= (133.929-140)/(9.856/sqrt(14))

=-2.30

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(c) It is a left-tailed test.

So the p-value= P(Z<-2.30) =0.0107 (from standard normal table)

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(d)C

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(e) Yes

133.929	mean Data
9.856	std. dev.