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Name: Last year a company received 50 complaints concerning carpet installat
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Description: Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. a. The supervisor claims that the mean

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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Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint.

a. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 20 days. At the 0.10
level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 20)?

State the null and alternative hypotheses.

i Data Table
Days between receipt and resolution of complaint
134
52
59
4
32
38
154
127
23
112
3
125
102
160
73
66
24
18
11
22
94
84
39
25
21
1
10
3
31
31
24
24
22
3
13
38
12
11
19
11
11
30
58
37
24
25
25
26
36
60
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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 + ...

Expert Solution

Step 1

One-Sample T-Test:

It is the hypothesis testing done for comparing the mean of the data to a specific value. As the name says it is one-sample t-test, the data of one sample is considered for the complete hypothesis testing and the test statistics will be found from that data.

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