Question

The mean height of women in a country? (ages

20??29) is 63.6 inches. A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than

64 ?inches? Assume ?=2.74

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

64 inches is ___ ?

Answer 1

for normal distribution z score =(X-)/
here mean=       =	63.6
std deviation   ==	2.740
sample size       =n=	50
std error=xbar=/n=	0.3875

probability that the mean height for the sample is greater than 64 inches is:

probability =

P(X>64)

=

P(Z>1.03)=

1-P(Z<1.03)=

1-0.8485=

0.1515