a.
Find the critical value
a.
Answer to Problem 1CYU
The critical value
Explanation of Solution
Calculation:
The given information is that, the level is 95% and the sample size is 15.
Conditions:
- When the required degrees of freedom is less than 200 and not listed in the degrees of freedom column of the Table A.3, then choose the next smaller number in the table.
- When the required degrees of freedom is greater than 200, then use the z-value in the bottom row of Table A.3 otherwise use Table A.2.
Here, the significance level is 0.05
For two-tailed test,
Critical value for
From Table A.3: Critical Values for the Student’s t Distribution
- Locate the value 14 in the first column of the table.
- Locate the value 0.025 in the first row of the table.
- The intersecting value of row and column is 2.145.
Thus, the critical value
b.
Find the critical value
b.
Answer to Problem 1CYU
The critical value
Explanation of Solution
Calculation:
The given information is that, the level is 99% and the sample size is 22.
Here the significance level is 0.01 and the degrees of freedom is 21
For two-tailed test,
Critical value for
From Table A.3: Critical Values for the Student’s t Distribution
- Locate the value 21 in the first column of the table.
- Locate the value 0.005 in the first row of the table.
- The intersecting value of row and column is 2.831.
Thus, the critical value
c.
Find the critical value
c.
Answer to Problem 1CYU
The critical value
Explanation of Solution
Calculation:
The given information is that, the level is 90% and the sample size is 63.
The significance level is 0.10 and the degrees of freedom is 62
Here, the degrees of freedom is not listed in the Table A.3. Hence, choose previous row with degrees of freedom smaller than 62. That is, the previous row with smaller degrees of freedom would be 60.
For two-tailed test,
Critical value for
From Table A.3: Critical Values for the Student’s t Distribution
- Locate the value 60 in the first column of the table.
- Locate the value 0.05 in the first row of the table.
- The intersecting value of row and column is 1.671.
Thus, the critical value
d.
Find the critical value
d.
Answer to Problem 1CYU
The critical value
Explanation of Solution
Calculation:
The given information is that, the level is 95% and the sample size is 2.
Here, the significance level is 0.05 and the degrees of freedom is 1
For two-tailed test,
Critical value for
From Table A.3: Critical Values for the Student’s t Distribution
- Locate the value 1 in the first column of the table.
- Locate the value 0.025 in the first row of the table.
- The intersecting value of row and column is 12.706.
Thus, the critical value
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Chapter 7 Solutions
Essential Statistics
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