a.
To find: The critical value
a.
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Answer to Problem 11E
The critical value
Explanation of Solution
Given info:
Calculation:
Critical value:
The critical value can be obtained using the MINITAB software.
Statistical procedure:
The step by step procedure to find the critical-value using the MINITAB software is given below:
- Select Graphs, then Click on View
probability >click ok. - Under Distribution, choose Normal.
- Under shaded area, select Define shaded area by Probability-value.
- Enter the Probability-value as 0.05.
- Select Two tail and click OK.
The output obtained by MINITAB is given below:
From the MINITAB output, it can be seen that the critical value is
Thus, the critical value
b.
To find: The left tailed critical value of z for the level of significance
b.
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Answer to Problem 11E
The left tailed critical value of z for the level of significance
Explanation of Solution
Given info:
Calculation:
Critical value:
The critical value can be obtained using the MINITAB software.
Statistical procedure:
The step by step procedure to find the critical-value using the MINITAB software is given below:
- Select Graphs, then Click on View probability>click ok.
- Under Distribution, choose Normal.
- Under shaded area, select Define shaded area by Probability-value.
- Enter the Probability-value as 0.01.
- Select left tail and click OK.
The output obtained by MINITAB is given below:
From the MINITAB output, it can be seen that the critical value is -2.33.
Thus, the left tailed critical value of z for the level of significance
c.
To find: The right tailed critical value of z for the level of significance
c.
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Answer to Problem 11E
The right tailed critical value of z for the level of significance
Explanation of Solution
Given info:
Calculation:
Critical value:
The critical value can be obtained using the MINITAB software.
Statistical procedure:
The step by step procedure to find the critical-value using the MINITAB software is given below:
- Select Graphs, then Click on View probability>click ok.
- Under Distribution, choose Normal.
- Under shaded area, select Define shaded area by Probability-value.
- Enter the Probability-value as 0.005.
- Select right tail and click OK.
The output obtained by MINITAB is given below:
From the MINITAB output, it can be seen that the critical value is 2.58.
Thus, the right tailed critical value of z for the level of significance
d.
To find: The right tailed critical value of z for the level of significance
d.

Answer to Problem 11E
The right tailed critical value of z for the level of significance
Explanation of Solution
Given info:
Calculation:
Critical value:
The critical value can be obtained using the MINITAB software.
Statistical procedure:
The step by step procedure to find the critical-value using the MINITAB software is given below:
- Select Graphs, then Click on View probability>click ok.
- Under Distribution, choose Normal.
- Under shaded area, select Define shaded area by Probability-value.
- Enter the Probability-value as 0.01.
- Select right tail and click OK.
The output obtained by MINITAB is given below:
From the MINITAB output, it can be seen that the critical value is 2.33.
Thus, the right tailed critical value of z for the level of significance
e.
To find: The left tailed critical value of z for the level of significance
e.
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Answer to Problem 11E
The left tailed critical value of z for the level of significance
Explanation of Solution
Given info:
Calculation:
Critical value:
The critical value can be obtained using the MINITAB software.
Statistical procedure:
The step by step procedure to find the critical-value using the MINITAB software is given below:
- Select Graphs, then Click on View probability>click ok.
- Under Distribution, choose Normal.
- Under shaded area, select Define shaded area by Probability-value.
- Enter the Probability-value as 0.05.
- Select left tail and click OK.
The output obtained by MINITAB is given below:
From the MINITAB output, it can be seen that the critical value is -1.645.
Thus, the left tailed critical value of z for the level of significance
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Chapter 8 Solutions
ELEMENTARY STATISTICS >C<
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