Use the Two-Standard-Deviations F-Interval Procedure to Find the Required Confidence $2.38$

question 63

Multiple Choice

Use the two-standard-deviations F-interval procedure to find the required confidence interval. Assume that independentsamples have been randomly selected from the two populations and that the variable under consideration is normallydistributed on both populations.
-When 16 randomly selected customers enter a single main waiting line at a bank, their waiting times have a standard deviation of $2.38$ minutes. When 25 randomly selected customers enter any one of several waiting lines, their waiting times have a standard deviation of $5.35$ minutes. Construct a $98 \%$ confidence interval for the ratio, $\sigma _ { 1 } / \sigma _ { 2 }$ , where $\sigma _ { 1 }$ is the population standard deviation of the waiting times when a single line is used and $\sigma _ { 2 }$ is the population standard deviation of the waiting times when several lines are used.

• A)\(1.322\) to \(3.497\)
• B) \(1.512\) to \(3.203\)
• C) \(1.322\) to \(4.077\)
• D) \(0.929\) to \(4.923\)

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