Question

2. Which of the following scenarios would be closest to a normal distribution? Select one answer and explain why it is the closest to a normal distribution.

a. The sampling distribution of the average salary of groups of 50 Starbucks employees randomly selected from California.

b. The sampling distribution of the average salary of groups of 5 Starbucks employees randomly selected from California.

c. The distribution of the individual salaries of all the Starbucks employees in California.

d. The distribution of the individual salaries of all the Starbucks employees in the United States.

Answer 1

Answer:-

Here correct answer is option-a.

Explanation:-

From central limit theorem, we can say that if sample size is large enough (i.e, greater than 30) then the sampling distribution of mean is approximately normal, irrespective of sample size.

Therefore, we can say that, as the sample size is greater than 30, sampling distribution of the average salary will be closest to the normal distribution. so the correct answer is option-a.