For a given data set Mean = u=200 and standard deviation =30. What is the probability that the mean of a sample of n=36
a) would be greater than 208?
b) Less than 195?
c) Between 192 and 210?
d) Not more than 212?
The answer is in the excel file attached
Mean M = 200
Standard deviation s= 30
Sample size n= 36
Standard error of mean= sx= s/square root of n= 5 ...
The solution calculates probability using normal distribution.