Question

Score: 0 of 1 pt 4 of 18 (1 complete) HW Score: 5.56%, 1 of 18 pts 5.4.32 8 Question Help The mean height of women Assume o = 2.73. a country (ages 20-29) is 64.2 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.)

Answer 1

Solution :

Given that ,

mean = $\mu$ = 64.2

standard deviation = $\sigma$ = 2.73

$\sigma$
_T
= $\sigma$ / $\sqrt$ n = 2.73 / $\sqrt$ 75 = 0.3152

P(
T
> 65) = 1 - P(
T
< 65)

= 1 - P[(
T
- $\mu$
_T
) / $\sigma$
_T
< (65 - 64.2) / 0.3152]

= 1 - P(z < 2.54)

= 1 - 0.9945

0.0055

The probability that the mean height for the sample mean greater than 65 is 0.0055