Question 868544: MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of pr017-1.jpg ?
b. What is the random variable in this problem? Define it in words.
c. What is the probability that the average aptitude test score in the sample will be between 70.14 and 82.14?
d. What is the probability that the average aptitude test score in the sample will be greater than 82.68?
e. What is the probability that the average aptitude test score in the sample will be less than 78.69?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
a. What are the expected value: 75
the standard deviation: s = 
and the shape of the sampling distribution of pr017-1.jpg ? assuming the normal curve
b. What is the random variable in this problem? test scores
c. P( between 70.14 and 82.14) = normalcdf(70.14, 82.14, 75, 3)
d. P(greater than 82.68) = normalcdf( 82.68, 999, 75, 3) 999 a placeholder
e. P(less than 78.69)= normalcdf(-999,78.69, 75, 3)
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