Sampling Distribution

Complete solutions and illustrations are required.

2.In a study of life expectancy, it was found that the mean age at death in the Philippines was 72 with a standard deviation of 5.8 years. If a sample of 50 Filipino people is selected, find the probability that the mean life expectancy will be,
a.Less than 70 years old.
b.Between 68 and 75 years.

Z = (score-mean)/SEm

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.