STAT 200 B

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stat_200_b.rtf

Question 1

Refer to the following information for Questions 21, 22, and 23. Please show all work.

The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet.

21. What is the probability that a randomly selected pecan is between 10 and 12 feet tall?

22. Find the 90th percentile of the pecan tree height distribution.

23. If a random sample of 25 pecan trees is selected, what is the standard deviation of the sample mean?

Question 2

Refer to the following data to answer questions 7 & 8. Please show all work.

A random sample of STAT200 weekly study times in hours is as follow:

4 14 15 17 20

7. Find the standard deviation.

8. Are any of these study times considered unusual in the sense of our textbook? Explain. Does this differ with your intuition? Explain.