Question

In Midterm Exam 1, we had the following sample of resort hotel lead times.

Table 1: Resort Hotel Lead Times: 2 75 169 181 52

3 152 3 86 19

Suppose the overall distribution of resort hotel lead times has mean 70 days and variance 4900 days2 . Answer the following.

(a) (3 points) Use the CLT to determine the approximate distribution of X¯ 10, the size10 sample mean random variable. Use the notation presented in class.

(b) (3 points) What assumptions must be made about the sample in order for the sampling distribution of X¯ 10 to be well-approximated by the distribution in Part (a)?

Answer 1