Question

The health commissioner of city B postulated that the mean diastolic blood pressure (DBP) in a population of patients diagnosed as hypertensive was 100 mm Hg. Wishing to test this null hypothesis, a random sample of 11 subjects was drawn from this target population.

The results were as follows (DBP in mm Hg): 96, 114, 125, 105, 97, 96, 131, 117, 107, 111, 123

Assume the sample was drawn from a normally distributed population.

a) Use α = 0.05 (two-tailed) and assume 80% power.

b)   State the null and alternative hypotheses.           

c) List the critical value

d) Report your decision based on the critical value (reject Ho and accept H_A OR fail to reject Ho), P-value, and 95% confidence interval

e) If the decision was to fail to reject Ho, can Ho be accepted?

Answer 1

a: The level of significance

b). The null hypothesis:

The alternate hypothesis:

c). The critical value is t=2.2281 for two tailed test.

Test statistic : =3.0207

d). Since the calculated t-vale>the critical value, we reject the Null hypothesis. The p-value is 0.0129 and the 95% confidence interval is .

e). No.

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	DBP	x^2
	96	9216
	114	12996
	125	15625
	105	11025
	97	9409
	96	9216
	131	17161
	117	13689
	107	11449
	111	12321
	123	15129
Total	1222	137236

The variance is

  

95% confidence interval is