The Essentials of Statistics: A Tool for Social Research
4th Edition
ISBN: 9781305802698
Author: Joseph F. Healey
Publisher: Cengage Learning US
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Chapter 5, Problem 5.11P
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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…
Problem 2-6. Need help on why its 1.22
Chapter 5 Solutions
The Essentials of Statistics: A Tool for Social Research
Ch. 5 - Scores on a quiz were normally distributed and had...Ch. 5 - Assume that the distribution of scores on a...Ch. 5 - The senior class has been given a comprehensive...Ch. 5 - For a normal distribution where the mean is 50 and...Ch. 5 - At St. Algebra College, the 200 freshmen enrolled...Ch. 5 - If a distribution of test scores is normal, with a...Ch. 5 - SOC A scale measuring prejudice has been...Ch. 5 - SOC On the scale mentioned in problem 5.7, if a...Ch. 5 - For a math test on which the mean score was 59 and...Ch. 5 - SOC The average number of dropouts for a school...
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