Question

A. Find the value of the mean of a sample of size 10 such that probability of finding that value of mean or less has a probability of 0.8234, when the population mean is Mu = 604, and the population standard deviation is 146

B. Find the value of the mean of a sample of size 14 such that probability of finding that value of mean or less has a probability of 0.0468, when the population mean is Mu = 129, and the population standard deviation is 27

C. Find the value of the mean of a sample of size 7 such that probability of finding that value of mean or less has a probability of 0.6775, when the population mean is Mu = 633, and the population standard deviation is 156

PLEASE SHOW WORK!! I DONT UNDESTERAND HOW TO GET THE Z-SCORE.

Answer 1

A. Given : n=10 ,

If , then

Where , and

Now , we want to find the value of the mean.

Since ,

...........(I)

From standard normal probability table ,

..............(II)

From (I) and (II) , we get ,

Therefore , the value of the mean is 646.9374

B. Given : n=14 ,

If , then

Where , and

Now , we want to find the value of the mean.

Since ,

...........(I)

From standard normal probability table ,

..............(II)

From (I) and (II) , we get ,

Therefore , the value of the mean is 116.8770

C. Given : n=7 ,

If , then

Where , and

Now , we want to find the value of the mean.

Since ,

...........(I)

From standard normal probability table ,

..............(II)

From (I) and (II) , we get ,

Therefore , the value of the mean is 660.1228