Chapter 8.3, Problem 64E

To determine

To check whether the Normal/Large sample condition is met,

Answer to Problem 64E

The normal condition is met.

Explanation of Solution

The shape of the distribution seems to be left-skewed with two outliers. Therefore, the distribution is left skewed so it could not be approximately normal distribution. But the sample size 100 and which is >30. Therefore, we know that if sample size is large then as per central limit theorem, the sampling distribution of sample mean is approximately normal distribution. Hence, the normal condition to use the t-distribution is met.