STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 5, Problem 27E
a.
To determine
Find the new mean and standard deviation by subtracting 1,000 pounds from all the weights.
b.
To determine
Find the mean and standard deviation of the sale prices (in dollars) for all the steers.
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55
5.5
A glass bottle manufacturing company has recorded data on the average
number of defects per 10,000 bottles due to stones (small pieces of rock
embedded in the bottle wall) and the number of weeks since the last furnace
overhaul. The data are shown below.
Defects per 10,000
Weeks
13.0
4
16.1
5
14.5
6
17.8
7
22.0
8
27.4
9
16.8
10
65.6
☐☐
Defects per 10,000
Weeks
34.2
11
12
49.2
13
66.2
81.2
87.4
14
15
16
114.5
17
a. Fit a straight-line regression model to the data and perform the standard
tests for model adequacy.
b. Suggest an appropriate transformation to eliminate the problems encoun-
tered in part a. Fit the transformed model and check for adequacy.
One estimate of the proportion of children with autism in the United States is 1 in 100 (Source: http://www.cbsnews.com/stories/2009/10/05/health/main5363192.shtml). Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that three have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder.
Which of the following is the most likely reason you would use a Wilson estimator to calculate the confidence interval estimator?
It is uncomfortable to define having been diagnosed with autism as a success.
It is possible that if even the actual proportion in Utah is 1%, your sample may only have very few children who have had a previous diagnosis of an autism disorder.
It is an easier way to calculate the confidence…
Chapter 5 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 5.1 - 1. Your statistics teacher has announced that the...Ch. 5.2 - Prob. 2JCCh. 5.2 - 4. A company manufactures wheels for in-line...Ch. 5.3 - 5. As a group, the Dutch are among the tallest...Ch. 5.3 - Prob. 5JCCh. 5 - Prob. 1ECh. 5 - 2. Mensa People with z-scores above 2.5 on an IQ...Ch. 5 - 3. Temperatures A town’s January high temperatures...Ch. 5 - 4. Placement exams An incoming freshman took her...Ch. 5 - 5. Shipments A company selling clothing on the...
Ch. 5 - 6. Hotline A company’s customer service hotline...Ch. 5 - 9. Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - 8. IQ Some IQ tests are standardized to a Normal...Ch. 5 - 17. Stats test, part II Suppose your Statistics...Ch. 5 - 13. Normal cattle The Virginia Cooperative...Ch. 5 - IQs revisited Based on the Normal model N(100, 16)...Ch. 5 - 11. Music library Corey has 4929 songs in his...Ch. 5 - 12. Wisconsin ACT math The histogram shows the...Ch. 5 - 19. Payroll Here are the summary statistics for...Ch. 5 - 20. Hams A specialty foods company sells “gourmet...Ch. 5 - 21. SAT or ACT? Each year thousands of high school...Ch. 5 - 22. Cold U? A high school senior uses the Internet...Ch. 5 - 11. Checkup One of the authors has an adopted...Ch. 5 - 23. Music library again Corey has 4929 songs in...Ch. 5 - 24. Windy In the last chapter, we looked at three...Ch. 5 - 25. Combining test scores The first Stats exam had...Ch. 5 - 26. Combining scores again The first Stat exam had...Ch. 5 - 27. Final exams Anna, a language major, took final...Ch. 5 - 28. MP3s Two companies market new batteries...Ch. 5 - 29. Cattle Using N(1152, 84), the Normal model for...Ch. 5 - 30. Car speeds 100 John Beale of Stanford,...Ch. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - 40. Rivets A company that manufactures rivets...Ch. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - 46. Customer database A large philanthropic...Ch. 5 - Prob. 43ECh. 5 - More IQs In the Normal model N(100, 16) from...Ch. 5 - Prob. 45ECh. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - 54. Tires A tire manufacturer believes that the...Ch. 5 - 55. Kindergarten Companies that design furniture...Ch. 5 - 56. Body temperatures Most people think that the...Ch. 5 - Prob. 51ECh. 5 - Prob. 52E
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