(Solution Library) The systolic blood pressure readings were recorded on 28 females and 26 males. They are presented below in the back-to-back stemplot. The
Question: The systolic blood pressure readings were recorded on 28 females and 26 males. They are presented below in the back-to-back stemplot. The highest value for the female blood pressures was 171, whereas the highest for the males was 200.
- What percentage of the people in this study had blood pressures above 150 ?
- Suppose you randomly select one person from the 54 people in the study. What is the probability that the person is a male and has a blood pressure below 140?
- If we were to calculate the sample standard deviations for the males and females separately, which of the
following could we conclude?
- The standard deviation for the females would be less than that of the males.
- The standard deviation for the males would be a lower number than that of the females.
- There's no way to say anything without actually calculating them
D. Again suppose you randomly select one person. Given that the person selected is a female, what is the probability that her blood pressure is above 140?
E. Still referring to number 4: The standard deviation for the males in this study was found to be 19.95. The sample mean was also calculated, and it was 159.77. Use this information to create a 95% confidence interval to estimate the true average systolic blood pressure for all males.
F. You'd like to use the confidence interval above to test to see if the true mean is something other than 155 . What conclusion would you come to?
- There is evidence that the average blood pressure is different from 155
- There is no evidence that the average blood pressure is different from 155
-
I should not be using the confidence interval in this capacity because the test is one-sided.
G. (Possible extra credit) Given that the mean for the females was $139.3$, and the standard deviation was $14.08$ (and using the information about the males provided in part E, conduct a hypothesis test at the $.05$ level of significance to see if males have significantly higher average blood pressure than females.
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