Answer:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007
Step-by-step explanation:
Let X the random variable that represent the women heights of a population, and we know the following parameters
and
We are interested on this probability
Since the sample size selected is 75>30 we can use the centrel limit theorem and the appropiate formula to use would be the z score given by:
If we find the z score for 65 inches we got:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007