Question

In: Statistics and Probability

Suppose systolic blood pressure of 18-year-old females is approximately normally distributed with a mean of 123...

Suppose systolic blood pressure of 18-year-old females is approximately normally distributed with a mean of 123 mmHg and a variance of 615.04 mmHg. If a random sample of 18 girls were selected from the population, find the following probabilities:

a) The mean systolic blood pressure will be below 109 mmHg.
probability =

b) The mean systolic blood pressure will be above 124 mmHg.
probability =

c) The mean systolic blood pressure will be between 106 and 125 mmHg.
probability =

d) The mean systolic blood pressure will be between 104 and 112 mmHg.
probability =

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-2.3950, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(0.1711, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-2.9083, TRUE)" & "=NORM.S.DIST(0.3421, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-1.8818, TRUE)" & "=NORM.S.DIST(-3.2504, TRUE)" to find the probability.


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