Answered: The data table contains waiting times…

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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Question

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

7.2

6.4

7.9

6.7

7.3

7.6

6.5

7.3

8.3

7.9

7.7

6.2

14.4

6.6

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

minutes

HA: σ≠2.3

minutes

H0: σ≥2.3

minutes

HA: σ<2.3

minutes

H0: σ=2.3

minutes

HA: σ<2.3

minutes

H0: σ<2.3

minutes

HA: σ=2.3

minutes

b. 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

is not

sufficient evidence to conclude that the single line reduced the variation among waiting times because

not rejected

rejected

by the hypothesis test.

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