Find the levels of the confidence intervals that have the following values of Zα/2:
- a. Zα/2 = 1.96
- b. Zα/2 = 2.17
- c. Zα/2 = 1.28
- d. Zα/2 = 3.28
a.
Find the levels of the confidence intervals that have the
Answer to Problem 2E
The levels of the confidence intervals that have the
Explanation of Solution
Calculation:
Confidence level:
Software Procedure:
Step-by-step procedure to obtain the confidence level using the MINITAB software:
- Choose Graph > Probability Distribution Plot choose View Probability> OK.
- From Distribution, choose ‘Normal’ distribution.
- Click the Shaded Area tab.
- Choose X Value and Two Tail for the region of the curve to shade.
- Enter the X value as 1.96.
- Click OK.
Output using the MINITAB software is given below:
From the MINITAB output,
The confidence level is,
Thus, the levels of the confidence intervals that have the
b.
Find the levels of the confidence intervals that have the
Answer to Problem 2E
The levels of the confidence intervals that have the
Explanation of Solution
Calculation:
Confidence level:
Software Procedure:
Step-by-step procedure to obtain the confidence level using the MINITAB software:
- Choose Graph > Probability Distribution Plot choose View Probability> OK.
- From Distribution, choose ‘Normal’ distribution.
- Click the Shaded Area tab.
- Choose X Value and Two Tail for the region of the curve to shade.
- Enter the X value as 2.17.
- Click OK.
Output using the MINITAB software is given below:
From the MINITAB output,
The confidence level is,
Thus, the levels of the confidence intervals that have the
c.
Find the levels of the confidence intervals that have the
Answer to Problem 2E
The levels of the confidence intervals that have the
Explanation of Solution
Calculation:
Confidence level:
Software Procedure:
Step-by-step procedure to obtain the confidence level using the MINITAB software:
- Choose Graph > Probability Distribution Plot choose View Probability> OK.
- From Distribution, choose ‘Normal’ distribution.
- Click the Shaded Area tab.
- Choose X Value and Two Tail for the region of the curve to shade.
- Enter the X value as 1.28.
- Click OK.
Output using the MINITAB software is given below:
From the MINITAB output,
The confidence level is,
Thus, the levels of the confidence intervals that have the
d.
Find the levels of the confidence intervals that have the
Answer to Problem 2E
The levels of the confidence intervals that have the
Explanation of Solution
Calculation:
Confidence level:
Software Procedure:
Step-by-step procedure to obtain the confidence level using the MINITAB software:
- Choose Graph > Probability Distribution Plot choose View Probability> OK.
- From Distribution, choose ‘Normal’ distribution.
- Click the Shaded Area tab.
- Choose X Value and Two Tail for the region of the curve to shade.
- Enter the X value as 3.28.
- Click OK.
Output using the MINITAB software is given below:
From the MINITAB output,
The confidence level is,
Thus, the levels of the confidence intervals that have the
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Chapter 5 Solutions
Statistics for Engineers and Scientists
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