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a.
To find:The value of test statistic.
a.
![Check Mark](/static/check-mark.png)
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 find:Whether the hypothesis
b.
![Check Mark](/static/check-mark.png)
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 find:Whether the hypothesis
c.
![Check Mark](/static/check-mark.png)
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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Chapter 15 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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