Concept explainers
Obtain the interval for the case
Obtain the interval for the case
Find the shorter interval and explain whether there is any advantage to a “symmetric” confidence interval.
Answer to Problem 95SE
The interval for
The interval for
The significance level is not affected by the symmetrical interval.
Explanation of Solution
Given info:
The confidence interval for
Calculation:
For
From “Table III: Cumulative standard normal distribution”, the required critical value is
That is,
From “Table III: Cumulative standard normal distribution”, the required critical value is
- Locate the value 1.9 in the first column of the table.
- Locate the value 0.06 in the first row of the table.
- The intersecting value of row and column is 0.975.
The confidence interval is 95%.
For
From “Table III: Cumulative standard normal distribution”, the required critical value is
That is,
Thus,
Here
Hence the significance level is not affected by the symmetrical interval but it affect the width of the interval and the symmetrical interval is limited.
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Chapter 8 Solutions
Applied Statistics and Probability for Engineers
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