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 1.8 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 0.025. Assume that the sample is a simple random sample selected from a normally distributed population.

a. Compute the test statistic.

chi squared equals

(Round to two decimal places as needed.)

b. Find the P-value of the test statistic.

The P-value of the test statistic is

(Round to three decimal places as needed.)

7.7
6.9
7.2
7.9
8.9
7.4
7.9
6.8
7.9
7.2
6.9
6.1
5.9
7.1
8.1
Customer Waiting Times
(in minutes)
6.8
7.8
6.2
7.2
8.1
7.3
7.5
6.3
7.2
6.5
6.3
6.1
6.2
6.1
6.7
8.4
7.9
6.4
9.1
6.5
6.8
7.6
6.4
6.6
8.7
5.2
6.2
8.9
7.7
6.1
7.8
7.1
6.6
7.8
7.8
5.1
6.3
7.6
7.5
6.8
7.4
6.5
7.2
7.5
7.2

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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