A manager at a bank is interested in comparing the standard deviation of the waiting times when a single waiting line is used versus when individual lines are used. He wishes to test the claim that the population standard deviation for waiting times when multiple lines are used is greater than the population standard deviation for waiting times when a single line is used. This is a test of differences in variability. Find the p-value for a test of this claim given the following sample data. If you use R, you will be able to calculate a precise p-value. If you do a table lookup, you won't be able to find the exact p-value, but will be able to bound the p-value. Retain at least 4 digits in the calculated p-value if you use R.

Sample 1: multiple waiting lines: n₁ = 13, s₁ = 2.0 minutes Sample 2: single waiting line: n₂ = 16, s₂ = 1.1 minutes