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Week 1

Prepare responses to the following exercises from the text:

Exercises 80, 82, and 87 (Ch. 3)

Question 80
Creek Ratz is a very popular restaurant located along the coast of northern Florida. They serve a variety of steak and seafood dinners. During the summer beach season, they do not take reservations or accept “call ahead” seating. Management of the restaurant is concerned with the time a patron must wait before being seated for dinner. Listed below is the wait time, in minutes, for the 25 tables seated last Saturday night.

28 39 23 67 37 28 56 40 28 50
51 45 44 65 61 27 24 61 34 44
64 25 24 27 29

a. Explain why the times are a population.
b. Find the mean and median of the times.
c. Find the range and the standard deviation of the times.

Question 82
The following frequency distribution reports the electricity cost for a sample of 50 two bedroom apartments in Albuquerque, New Mexico during the month of May last year.

Electricity Cost Frequency
$ 80 up to $100 3
100 up to 120 8
120 up to 140 12
140 up to 160 16
160 up to 180 7
180 up to 200 4
Total 50

a. Estimate the mean cost.
b. Estimate the standard deviation.
c. Use the Empirical Rule to estimate the proportion of costs within two standard deviations of the mean. What are these limits?

Question 87
Refer to the Real Estate data, which reports information on homes sold in the Denver, Colorado, area last year.
a. Select the variable selling price.
1. Find the mean, median, and the standard deviation.
2. Write a brief summary of the distribution of selling prices.

b. Select the variable referring to the area of the home in square feet.
1. Find the mean, median, and the standard deviation.
2. Write a brief summary of the distribution of the area of homes.

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Week 1

Chapter 5 - Exercises 34, 36, and 38 (Ch. 5)

Question 34
(A1) = .20, P(A2) = .40, and P(A2) = .40. P(B1|A2) = .25. P(B1|A2) = .05, and P(B1|A3) = .10.
Use Bayes' theorem to determine P(A3 | B1).

Question 36
Dr. Stallter has been teaching basic statistics for many years. She knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaugh took statistics last semester from Dr. Stallter and received a passing grade. What is the probability that he completed the assignments?

Question 38
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?