A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known to have a ske

Question

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known to have a skewed distribution. The doctor collects systolic blood pressure measurements from random sample of 28 female students. The resulting 90% confidence interval is (100.4, 159.6). Units of systolic blood pressure are mmHg.Which one of the following conclusions is valid?
a. 90% of the female students at the college have a systolic blood pressure between 100.4 mmHg and 159.6 mmHg.
b. The sampling distribution of means will probably not follow a normal distribution, so we cannot draw a conclusion.
c. We are 90% confident that the mean systolic blood pressure for female students at the college is between 100.4 mmHg and 159.6 mmHg.

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Alaia 2 weeks 2021-09-09T17:43:22+00:00 1 Answer 0

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    2021-09-09T17:44:36+00:00

    Answer:

    c. We are 90% confident that the mean systolic blood pressure for female students at the college is between 100.4 mmHg and 159.6 mmHg.

    Step-by-step explanation:

    x% confidence interval for the sample mean being between a and b.

    Interpreation:

    We are x% sure that the true population mean is between a and b.

    The doctor collects systolic blood pressure measurements from random sample of 28 female students. The resulting 90% confidence interval is (100.4, 159.6).

    So

    We are 90% sure that the mean of all female students at the college is between these two values.

    So the correct answer is:

    c. We are 90% confident that the mean systolic blood pressure for female students at the college is between 100.4 mmHg and 159.6 mmHg.

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