Question

Life expectancy in a country is known to follow a left-skewed distribution with a mean value of 78.26 years and a standard deviation of 4.29 years. Suppose we take a random sample of 8 members of this country, and calculate their average life expectancy. What is the probably that this sample has an average value of at most 78.52 years?

Select one:

a. 0.6844

b. 0.9127

c. 0.4800

d. 0.3156

e. We cannot answer this question with the information given.

Answer 1

From the given information,

Here, sample size=8 which is very small and population is also not normal.

Hence,

The required correct answer is,

We cannot answer this question with the information given.

i.e., Option e. is correct.

Thank you.