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

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 $4.923$