Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 15, Problem 1CQ
a.
To determine
To find:The value of test statistic.
a.
Expert Solution
Answer to Problem 1CQ
The value of test statistic is
Explanation of Solution
Given information:
The data is
Concept used:
The test statistic is,
If the
If the sample size is greater than
Here, the number of times the less frequent sign occur is
The conditions for test statistics are shown below in table.
| Type of test | Test statistic |
| Right-tailed test | Number of minus signs |
| Left-tailed test | Number of plus signs |
| Two-tailed test | Number of plus or minus signs, whichever is smaller |
Calculations:
The value of test statistic is shown below.
| Sample | Difference | Signs |
| 50 | 20 | - |
| 38 | 8 | + |
| 23 | -7 | - |
| 29 | -1 | - |
| 57 | 27 | + |
| 26 | -4 | - |
| 53 | 23 | + |
| 42 | 12 | + |
| 60 | 30 | + |
| 23 | -7 | - |
From the above table, the number of minus sign is
Since, the sample size is less than
The test statistic is given by the number of plus or minus sign which are smaller in number.
Therefore, the value of test statistic for the given sample is
b.
To determine
To find:Whether the hypothesis
b.
Expert Solution
Answer to Problem 1CQ
The hypothesis
Explanation of Solution
Given information:
The level of significance is
Calculations:
The critical value for two-tailed test at sample size of
Since, the test statistics is
Therefore, the hypothesis
c.
To determine
To find:Whether the hypothesis
c.
Expert Solution
Answer to Problem 1CQ
The hypothesis
Explanation of Solution
Given information:
The level of significance is
Calculations:
The critical value for two-tailed test at sample size of
Since, the test statistics is
Therefore, the hypothesis
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Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages
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Alpha Level
0.001
0.005
0.01
0.025
0.05
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Critical Value
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Chapter 15 Solutions
Elementary Statistics (Text Only)
Ch. 15.1 - In Exercises 3 and 4, fill in each blank with the...Ch. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.1 - In Exercises 5 and 6, determine whether the...Ch. 15.1 - Prob. 7ECh. 15.1 - Prob. 8ECh. 15.1 - Prob. 9ECh. 15.1 - Prob. 10ECh. 15.1 - Weight loss: A weight loss company claims that the...Ch. 15.1 - At the movies: A sample of 12 movies released in a...
Ch. 15.1 - Prob. 13ECh. 15.1 - Prob. 14ECh. 15.1 - Prob. 15ECh. 15.1 - Prob. 16ECh. 15.1 - Scam alert: The rates of fraud complaints (per...Ch. 15.1 - Prob. 18ECh. 15.1 - Prob. 19ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5ECh. 15.2 - Prob. 6ECh. 15.2 - Prob. 7ECh. 15.2 - Prob. 8ECh. 15.2 - Prob. 9ECh. 15.2 - In Exercises 7-10, compute s,s, and the value of...Ch. 15.2 - Prob. 11ECh. 15.2 - Prob. 12ECh. 15.2 - Prob. 13ECh. 15.2 - Recovery times: A new postsurgical treatment was...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.3 - Prob. 7ECh. 15.3 - Prob. 8ECh. 15.3 - Prob. 9ECh. 15.3 - Prob. 10ECh. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Prob. 16ECh. 15.3 - Exercise 17 demonstrates that the results of the...Ch. 15 - Prob. 1CQCh. 15 - Prob. 2CQCh. 15 - Prob. 3CQCh. 15 - Prob. 4CQCh. 15 - Prob. 5CQCh. 15 - Prob. 6CQCh. 15 - Prob. 7CQCh. 15 - Prob. 8CQCh. 15 - In Exercises 8-10, use the signed-rank test to...Ch. 15 - Prob. 10CQCh. 15 - Prob. 1RECh. 15 - Prob. 2RECh. 15 - Prob. 3RECh. 15 - Prob. 4RECh. 15 - Prob. 5RECh. 15 - Prob. 6RECh. 15 - Prob. 7RECh. 15 - Prob. 8RECh. 15 - Prob. 9RECh. 15 - Prob. 10RECh. 15 - Prob. 1WAICh. 15 - Prob. 2WAICh. 15 - Prob. 3WAICh. 15 - Prob. 1CSCh. 15 - Prob. 2CSCh. 15 - Microorganisms play a crucial role in wastewater...Ch. 15 - Prob. 4CS
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