Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 11.3, Problem 12E
Truck pollution: In an experiment to determine the effect of ambient temperature on the emissions of oxides of nitrogen (NOx) of diesel trucks, 10 trucks were run at temperatures of and 80%. The emissions: in pans per billion: are presented in the following table.
Can you conclude that the
- State the null and alternate hypotheses.
- Compute the test statistic.
- State a conclusion. Use the
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2. An experiment is set up to test the effectiveness of a new drug for balancing
people's mood. The table below contains the results of the patients before and
after taking the drug. The possible scores are the integers from 0 to 10, where
0 indicates a depressed mood and 10 indicates and elated mood.
Patient Before
After
1
4
4
2
3
3
3
6
4
4
1
2
5
6
5
6
1
3
7
4
7
8
6
9
1
4
10
5
4
Assuming the differences of the observations to be symmetric, but not normally
distributed, investigate the effectiveness of the drug at the 5% significance level.
[4 Marks]
3. (i) Consider the following R code:
wilcox.test(UK Supermarkets $Salary ~ UKSupermarkets $Supermarket)
(a) Which test is being used in this code?
(b) What is the name of the dataset under consideration?
How would be adapt this code if we had ties? What other command
can be used which deals with ties?
(ii) Consider the following R code:
install packages("nortest")
library(nortest)
lillie.test (Differences)
(a) Assuming the appropriate dataset has been imported and attached,
what is wrong with this code?
(b) If this code were to be corrected, what would be determined by run-
ning it?
[3 Marks]
1. (i) Explain the difference in application between the Mann-Whitney U test
and the Wilcoxon Signed-Rank test, i.e. in which scenarios would each test be
used?
(ii) What is the main procedure underlying these nonparametric tests?
[3 Marks]
Chapter 11 Solutions
Elementary Statistics (Text Only)
Ch. 11.1 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - More time on the Internet: The General Social...Ch. 11.1 - Low-fat or low-carb? Are low-fat diets or low-carb...Ch. 11.1 - Are you smarter than your older brother? In a...Ch. 11.1 - Recovering from surgery: A new postsurgical...
Ch. 11.1 - Contaminated water: The concentration of benzene...Ch. 11.1 - Exercise: Medical researchers conducted a study to...Ch. 11.1 - Mummys curse: King Tut was an ancient Egyptian...Ch. 11.1 - Baby weights: Following are weights in pounds for...Ch. 11.1 - Empathy: The Interpersonal Reactivity Index is a...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Interpret calculator display: The following TI-84...Ch. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.2 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - In a test for the difference between two...Ch. 11.2 - In a test for the difference between two...Ch. 11.2 - Childhood obesity: The National Health and...Ch. 11.2 - Pollution and altitude: In a random sample of 340...Ch. 11.2 - Preventing heart attacks: Medical researchers...Ch. 11.2 - Cholesterol: An article in the Archives of...Ch. 11.2 - Treating circulatory disease: Angioplasty is a...Ch. 11.2 - Hurricane damage: In August and September 2005,...Ch. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Interpret calculator display: The following TI-84...Ch. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Crossover trial: A crossover trial is a type of...Ch. 11.3 - Comparing scales: In an experiment to determine...Ch. 11.3 - Strength of concrete: The compressive strength. in...Ch. 11.3 - Truck pollution: In an experiment to determine the...Ch. 11.3 - Growth spurt: It is generally known that boys grow...Ch. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Interpret calculator display: The following TI-84...Ch. 11.3 - Interpret computer output: The following MINITAB...Ch. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Find the critical value f0.05 for F7,20.Ch. 11.4 - Prob. 10ECh. 11.4 - An F-test with 12 degrees of freedom in the...Ch. 11.4 - Prob. 12ECh. 11.4 - Sugar content: A broth used to manufacture a...Ch. 11.4 - Hockey sticks: The breaking strength of hockey...Ch. 11.4 - Prob. 15ECh. 11.4 - Are you smarter than your older brother? In a...Ch. 11.4 - Prob. 17ECh. 11.5 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Refer to Exercise 12. Can you reject H0 at the...Ch. 11 - Prob. 15CQCh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 1WAICh. 11 - Prob. 2WAICh. 11 - Describe the differences between performing a...Ch. 11 - Prob. 4WAICh. 11 - Prob. 5WAICh. 11 - Prob. 1CSCh. 11 - Prob. 2CSCh. 11 - Prob. 3CSCh. 11 - Prob. 4CS
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