A random sample of 30 part-time employees is chosen without replacement from a firm employing 200 part-time workers. If the mean hours worked per month is 60 hours with a standard deviation of 5 hours determine the probability that the sample mean: 

(a) will lie between 60 and 62 hours,

(b) Be over 63 hours. In this example we have a finite population of size N (= 200) and a sample size of 30 (n = 30).

From equation (5.8) we can calculate the standard error of the sampling mean and then use Excel to calculate the two probability values.

Equation 5.8

Transcribed Image Text:

0x N-n N-1 (5.8)