1 answer

For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean...

Question:

For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviat
For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 36 women are selected at random from a population of 300 women aged 18-24, find the probability that their mean systolic blood pressure will be less than 110 mm Hg. Assume that the sampling is done without replacement and use a finite population correction factor with N = 300 a. 0.0096 b. 0.0146 c. 0.3483 d. 0.3557

Answers

µ = 114.8, σ = 13.1, n = 36

N = 300

σₓ = (σ/√n)*√((N-n)/(N-1)) = (13.1/√36)*√((300-36)/(300-1)) = 2.0516

P(X < 110) =

= P( (X-µ)/σ < (110-114.8)/2.0516 )

= P(z < -2.3396)

Using excel function:

= NORM.S.DIST(-2.3396, 1)

= 0.0096

Answer: a) 0.0096

.

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