QUESTION 31

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=75,

find the probability of a sample mean being greater than 215 if =214 and =6.1.

For a sample of n=75, the probability of a sample mean being greater than 215 if =214 and =6.1 is ________________ (ROUND TO FOUR DECIMAL PLACES AS NEEDED.)

________________________________________________________________________________________________________________

QUESTION 32

The heights of fully grown trees of a specific species are normally distributed, with a mean of 66.0

feet and a standard deviation of 7.00 feet. Random samples of size 14 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.

The mean of the sampling distribution is x= _________

The standard error of the sampling distribution is x= _________

(ROUND TO TWO DECIMAL PLACES AS NEEDED.)