Suppose that you have a sample of 36 Male Marines from a population of Male Marines with a mean weight of = 200 and with = 24. (Need the distributions shown )

a) What is the probability that the sample mean weight will be less than 192 pounds State the standard error Standard Error:

State the Z value (s):

Statement:

b) A Sargent takes weights of a sample of 36 Male Marines. Find the sample mean cut off weights for the Middle 95% of all Male Marines from the sample size 36 taken from the population. (Round to a whole number).

State the Z value :

Statement :

The mean test scores on an aptitude test are 50. I company will hire someone that has an aptitude test score of at least 68. Assuming the aptitude test scores are normally distributed what would the standard deviation have to be if 2.5% of the aptitude test scores are at least 68. (Round to the nearest tenths place if needed)

State the Z value :

Answer: