Referring to Table 1, judging from the way the data were collected, which test would likely be most appropriate to employ? Question 24 options: 1) F test for the ratio of two variances 2) Pooled-variance t test for the difference between two means 3) Separate-variance t test for the difference between two means 4) Paired t test Table 1A problem with a phone line that prevents a customer from receiving or making calls is upsettingto both the customer and the telecommunications company. The file "Phone" contains samples of20 problems reported to two different offices of a telecommunications company and the time toclear these problems (in minutes) from the customers' lines:Central Office I Time to Clear Problems (minutes)1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.101.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97Central Office II Time to Clear Problems (minutes)7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.023.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72Assuming that the population variances from both offices are equal, is there evidence that themean waiting time at Central Office I is different with that at Central Office II?You may download file "Phone".

Claim : The mean waiting time at Central Office I is different with that at Central Office II.

Answered: A problem with a phone line that…

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

Referring to Table 1, judging from the way the data were collected, which test would likely be most appropriate to employ?

Question 24 options:

1)	F test for the ratio of two variances

2)	Pooled-variance t test for the difference between two means

3)	Separate-variance t test for the difference between two means

4)	Paired t test

Table 1
A problem with a phone line that prevents a customer from receiving or making calls is upsetting
to both the customer and the telecommunications company. The file "Phone" contains samples of
20 problems reported to two different offices of a telecommunications company and the time to
clear these problems (in minutes) from the customers' lines:
Central Office I Time to Clear Problems (minutes)
1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10
1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97
Central Office II Time to Clear Problems (minutes)
7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02
3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72
Assuming that the population variances from both offices are equal, is there evidence that the
mean waiting time at Central Office I is different with that at Central Office II?
You may download file "Phone".

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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