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The distribution of diastolic blood pressures for the population of female diabetics between the ages of 30...

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Basic Math

Thedistribution of diastolic blood pressures for the population offemale diabetics between the ages of 30 and 34 has an unknown meanand standard deviation. A sample of 10 diabetic women is selected;their mean diastolic blood pressure is 84 mm Hg. We want todetermine whether the diastolic blood pressure of female diabeticsare different from the general population of females in this agegroup, where the mean ? = 74.4 mmHg and standard deviation ? = 9.1mm Hg. Diastolic blood pressure is normally distributed.

Now, conduct a two-sided hypothesis test at the ? = 0.05 levelof significance to determine whether diabetic women have adifferent mean diastolic blood pressure compared to the generalpopulation. Use both critical value and p-value methods.

b) For either method, would your conclusion have beendifferent if you had chosen ? = 0.01 instead of ? = 0.05?

Answer & Explanation Solved by verified expert
4.5 Ratings (809 Votes)
H0 744H1 744The test statistic z 84 74491 334critical valuemethodAt 005 significance level the critical values are z0025 196Since the test statistic value is greater than the positivecritical value334 196 so we should reject    See Answer
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