Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 12.12, Problem 150UP
To determine
Define the term “Multicollinearity” in regression.
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Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6.
a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 0. What level of type II error would you recommend here?
=
Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05.
β
= 0.0594
What sample size would be required?
Assume the sample sizes are to be…
Consider the hypothesis test Ho: 0
s² =
=
4.5; s² = 2.3. Use a
= 0.01.
=
σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ =
20 and 2
= 8, and that
(a) Test the hypothesis.
Round your answers to two decimal places (e.g. 98.76).
The test statistic is fo
=
1.96
The critical value is f
=
6.18
Conclusion:
fail to reject
the null hypothesis at a = 0.01.
(b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis:
(Round your answer to two decimal places (e.g. 98.76).)
035
Chapter 12 Solutions
Statistics (13th Edition)
Ch. 12.3 - 12.1 Write a first-order model relating E(y)...Ch. 12.3 - Prob. 2UPCh. 12.3 - Outline the six steps in a multiple-regression...Ch. 12.3 - Prob. 4UPCh. 12.3 - Prob. 5UPCh. 12.3 - MINITAB was used to fit the model y = β0 + β1x1 +...Ch. 12.3 - Prob. 7LMCh. 12.3 - Prob. 8LMCh. 12.3 - Prob. 9LMCh. 12.3 - Prob. 10LM
Ch. 12.3 - Prob. 11LMCh. 12.3 - 12.8 If the analysis of variance F-test leads to...Ch. 12.3 - Prob. 13ACBCh. 12.3 - Prob. 14ACBCh. 12.3 - Prob. 15ACBCh. 12.3 - Dating and disclosure. Refer to the Journal of...Ch. 12.3 - Prob. 17ACBCh. 12.3 - Prob. 18ACBCh. 12.3 - Prob. 20ACBCh. 12.3 - Study of adolescents with ADHD. Children with...Ch. 12.3 - Prob. 22ACICh. 12.3 - Prob. 23ACICh. 12.3 - A rubber additive made from cashew nut shells....Ch. 12.3 - Prob. 25ACICh. 12.3 - Prob. 26ACICh. 12.3 - Cooling method for gas turbines. Refer to the...Ch. 12.3 - Prob. 28ACICh. 12.3 - Prob. 29ACICh. 12.3 - Prob. 30ACACh. 12.4 - Prob. 31UPCh. 12.4 - Prob. 32UPCh. 12.4 - Prob. 33ACBCh. 12.4 - Prob. 35ACBCh. 12.4 - Prob. 36ACBCh. 12.4 - Prob. 37ACBCh. 12.4 - Prob. 38ACICh. 12.4 - Prob. 39ACICh. 12.4 - Prob. 40ACICh. 12.4 - Prob. 41ACICh. 12.5 - Prob. 42UPCh. 12.5 - Prob. 43UPCh. 12.5 - Prob. 44LMCh. 12.5 - Prob. 45LMCh. 12.5 - MINITAB was used to fit the model
y = β0 + β1x1 +...Ch. 12.5 - Prob. 47ACBCh. 12.5 - Prob. 48ACBCh. 12.5 - Prob. 49ACBCh. 12.5 - Prob. 51ACBCh. 12.5 - Prob. 52ACBCh. 12.5 - Prob. 53ACICh. 12.5 - Prob. 54ACICh. 12.5 - Prob. 55ACICh. 12.5 - Prob. 56ACICh. 12.5 - Prob. 57ACICh. 12.5 - Prob. 58ACICh. 12.5 - Prob. 59ACICh. 12.6 - Prob. 60UPCh. 12.6 - 12.49 Write a second-order model relating the mean...Ch. 12.6 - Prob. 62LMCh. 12.6 - Prob. 63LMCh. 12.6 - Prob. 64LMCh. 12.6 - Prob. 65LMCh. 12.6 - Prob. 66ACBCh. 12.6 - Prob. 67ACBCh. 12.6 - Childhood obesity study. The eating patterns of...Ch. 12.6 - Prob. 69ACBCh. 12.6 - Prob. 70ACBCh. 12.6 - Prob. 71ACBCh. 12.6 - Prob. 72ACBCh. 12.6 - Prob. 73ACBCh. 12.6 - Prob. 74ACICh. 12.6 - Prob. 75ACICh. 12.6 - Prob. 76ACICh. 12.6 - Prob. 77ACICh. 12.6 - Prob. 78ACICh. 12.6 - Prob. 79ACICh. 12.6 - Prob. 80ACACh. 12.7 - Prob. 81UPCh. 12.7 - Prob. 82UPCh. 12.7 - Prob. 83LMCh. 12.7 -
MINITAB was used to fit the model
y = β0 + β1x1 +...Ch. 12.7 - Prob. 85ACBCh. 12.7 - Prob. 86ACBCh. 12.7 - Prob. 87ACBCh. 12.7 - Prob. 88ACBCh. 12.7 - Prob. 89ACBCh. 12.7 - Prob. 90ACBCh. 12.7 - Prob. 91ACBCh. 12.7 - Prob. 92ACICh. 12.7 - Prob. 93ACICh. 12.7 - Prob. 94ACICh. 12.7 - Prob. 96ACICh. 12.7 - Prob. 97ACICh. 12.7 - Prob. 98ACICh. 12.7 - Prob. 99ACACh. 12.8 - 12.82 Consider a multiple regression model for a...Ch. 12.8 - Prob. 101UPCh. 12.8 - Prob. 102UPCh. 12.8 - Prob. 103LMCh. 12.8 - Prob. 104LMCh. 12.8 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.8 - Prob. 106ACBCh. 12.8 - Prob. 108ACBCh. 12.8 - Prob. 110ACBCh. 12.8 - Prob. 111ACICh. 12.8 - Prob. 112ACICh. 12.8 - 12.91 Workplace bullying and intention to leave....Ch. 12.8 - Prob. 114ACICh. 12.8 - Prob. 116ACACh. 12.9 - Prob. 117UPCh. 12.9 - Prob. 118UPCh. 12.9 - Prob. 119UPCh. 12.9 - Prob. 120LMCh. 12.9 - Prob. 121LMCh. 12.9 - Prob. 122ACBCh. 12.9 - Prob. 123ACBCh. 12.9 - Mental health of a community. An article in the...Ch. 12.9 - Prob. 125ACBCh. 12.9 - Prob. 126ACBCh. 12.9 - Prob. 127ACBCh. 12.9 - Prob. 128ACICh. 12.9 - Prob. 129ACICh. 12.9 - Glass as a waste encapsulant. The encapsulation of...Ch. 12.9 - Whales entangled in fishing gear. Refer to the...Ch. 12.9 - Agreeableness, gender, and wages. Refer to the...Ch. 12.9 - Prob. 133ACICh. 12.9 - Prob. 134ACACh. 12.10 - Prob. 135UPCh. 12.10 - Prob. 136UPCh. 12.10 - Prob. 137LMCh. 12.10 - Prob. 138ACBCh. 12.10 - Prob. 139ACBCh. 12.10 - 12.114 Accuracy of software effort estimates....Ch. 12.10 - Prob. 141ACBCh. 12.10 - Prob. 142ACBCh. 12.10 - Prob. 143ACICh. 12.10 - Prob. 144ACICh. 12.10 - Prob. 145ACICh. 12.12 - Define a regression residual.
Ch. 12.12 - Prob. 147UPCh. 12.12 - Give two properties of the regression residuals...Ch. 12.12 - True or False. Regression models fit to...Ch. 12.12 - Define multicollinearity in regression.
Ch. 12.12 - Give three indicators of a multicollinearity...Ch. 12.12 - Define extrapolation.
Ch. 12.12 - 12.123 State casket sales restrictions. Some...Ch. 12.12 - Identify the problem(s) in each of the residual...Ch. 12.12 - Dating and disclosure. Refer to the Journal of...Ch. 12.12 - State casket sales restrictions. Some states...Ch. 12.12 - Personality traits and job performance. Refer to...Ch. 12.12 - Agreeableness, gender, and wages. Refer to the...Ch. 12.12 - Personality and aggressive behavior. Psychological...Ch. 12.12 - Yield strength of steel alloy. Refer to Exercise...Ch. 12.12 - Accuracy of software effort estimates. Refer to...Ch. 12.12 - Failure times of silicon wafer microchips. Refer...Ch. 12.12 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.12 - A rubber additive made from cashew nut shells....Ch. 12.12 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.12 - Cooling method for gas turbines. Refer to the...Ch. 12.12 - Emotional intelligence and team performance. Refer...Ch. 12.12 - Bubble behavior in subcooled flow boiling. Refer...Ch. 12 - Prob. 169UPCh. 12 - 12.141 Explain why stepwise regression is used....Ch. 12 - 12.140 It is desired to relate E(y) to a...Ch. 12 - 12.142 Consider relating E(y) to two quantitative...Ch. 12 - 12.136 Suppose you fit the model
to n = 25 data...Ch. 12 - 12.137 Suppose you used Minitab to fit the model
...Ch. 12 - 12.134 Suppose you have developed a regression...Ch. 12 - 12.138 The first-order model E (y) = β0 + β1x1 was...Ch. 12 - 12.143 To model the relationship between y, a...Ch. 12 - 12.144 Suppose you fit the regression model
to...Ch. 12 - Global warming and foreign investments. Scientists...Ch. 12 - Students’ ability in science. An article published...Ch. 12 - Glass as a waste encapsulant. The encapsulation of...Ch. 12 - Listen-and-look study. Where do you look when you...Ch. 12 - Defects in nuclear missile housing parts. The...Ch. 12 - Violent behavior in children. Refer to the...Ch. 12 - Improving SAT scores. Refer to the Chance (Winter...Ch. 12 - Factors identifying urban counties. The...Ch. 12 - Growth of Japanese beetles. In the Journal of...Ch. 12 - Prob. 188ACBCh. 12 - Snow geese feeding trial. Refer to the Journal of...Ch. 12 - Optimizing semiconductor material processing....Ch. 12 - 12.125 Women in top management. Refer to the...Ch. 12 - Comparing mosquito repellents. Which insect...Ch. 12 - Rating funny cartoons. Newspaper cartoons,...Ch. 12 - Prob. 194ACICh. 12 - Prob. 195ACICh. 12 - Prob. 196ACICh. 12 - Prob. 197ACICh. 12 - Prob. 198ACICh. 12 - 12.155 Entry-level job preferences. Benefits...Ch. 12 - Prob. 200ACICh. 12 - Prob. 201ACICh. 12 - Prob. 202ACICh. 12 - Prob. 205CTC
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