Concept explainers
Section 1
To graph: The diagram that illustrates the effect of the confidence level on the width of the interval.
Section 1
Explanation of Solution
Calculation: The confidence intervals based on different
And,
Where
And,
Therefore, the required confidence interval is
For a confidence level of
And,
Therefore, the required confidence interval is
For a confidence level of
And,
Therefore, the required confidence interval is
For a confidence level of
And,
Therefore, the required confidence interval is
Graph:
Section 2
To explain: The results.
Section 2
Answer to Problem 14E
Solution: The width of the confidence interval expands due to hike in the level of confidence.
Explanation of Solution
The margin of error rises with a rise in the confidence level because there is a direct relationship between the level of confidence and margin of error. This leads to an expansion in the width of the confidence interval. Hence, it can be concluded that as level of confidence increases, the width of the confidence interval increases.
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EBK INTRODUCTION TO THE PRACTICE OF STA
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