The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 2.3 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.01.
The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 2.3 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.01.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than
2.3
minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of
0.01.
Complete parts (a) through (d) below.(in minutes)
6.4
7.3
4.1
7.1
7.5
6.9
6.7
7.1
7.8
6.9
6.4
6.3
7.2
7.4
10.1
7.3
8.5
8.8
10.3
6.5
6.2
7.1
6.1
9.3
7.5
6.2
6.7
6.7
7.2
6.4
7.9
6.7
6.7
6.7
7.3
7.6
6.5
7.3
8.3
7.9
7.7
6.2
14.4
6.6
7.1
7.1
6.8
7.7
9.1
7.6
7.8
6.5
6.2
6.8
7.1
7.7
8.4
7.1
7.3
6.1
a. Identify the null and alternative hypotheses. Choose the correct answer below.
H0: σ=2.3
minutesHA: σ≠2.3
minutesH0: σ≥2.3
minutesHA: σ<2.3
minutesH0: σ=2.3
minutesHA: σ<2.3
minutesH0: σ<2.3
minutesHA: σ=2.3
minutesb. Compute the test statistic.
χ2=
c. Find the P-value of the test statistic.
The P-value of the test statistic is
d. Does the use of the single line appear to reduce the variation among waiting times?
There
sufficient evidence to conclude that the single line reduced the variation among waiting times because
by the hypothesis test.
is
is not
H0
is
not rejected
rejected
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