A manager at a bank is interested in comparing the standard deviation of the waiting times when a single waiting li used versus when individual lines are used. He wishes to test the claim that the population standard deviation for times when multiple lines are used is greater than the population standard deviation for waiting times when a singl is used. This is a test of differences in variability. Find the p-value for a test of this claim given the following sample 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 e 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: no = 16 S₂ = 1 1 minutes

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(7) Solve the problem.
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
0.025 <= p-value < 0.05
0.01 <= p-value < 0.025
0.005 <= p-value < 0.01
0.05 <= p-value < 0.1
Transcribed Image Text:(7) Solve the problem. 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 0.025 <= p-value < 0.05 0.01 <= p-value < 0.025 0.005 <= p-value < 0.01 0.05 <= p-value < 0.1
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