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29 November, 14:38

The mean diastolic blood pressure for a random sample of 70 people was 94 millimeters of mercury. if the standard deviation of individual blood pressure readings is known to be 12 millimeters of mercury, find a 90% confidence interval for the true mean diastolic blood pressure of all people.

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  1. 29 November, 17:52
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    To solve this problem, we make use of the formula for Confidence Interval:

    Confidence Interval = X ± z * σ / sqrt (n)

    where X is the mean value, z is the z score which is taken from the standard tables, σ is the standard deviation, and n is the number of samples

    z = 1.645 (at 90% Confidence Level)

    Substituting the values into the equation:

    Confidence Interval = 94 ± 1.645 * 12 / sqrt (70)

    Confidence Interval = 94 ± 2.36

    Confidence Interval = 91.64, 96.36

    Therefore at 90% confidence level, the blood pressure reading ranges from 91.64 mmHg to 96.36 mmHg.
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