Answered: Last year a company received 50…

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.

The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 30 days. At the 0.01 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 30)?

a. State the null and alternative hypotheses.

b. Determine the test statistic.

c. Find the p-value.

d.State the conclusion.

Days between receipt and resolution of complaint
47
54
35
132
38
27
153
128
82
79
24
20
20
116
104
112
19
95
87
37
27
22
1
11
160
30
31
21
23
27
6
11
10
19
10
11
20
22
54
35
25
32
22
20
22
33
68

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

47
82
87
21
22
54
79
37
23
54
8
24
27
27
35
35
20
22
6
25
132
20
1
11
32
38
116
11
10
22
27
104
2
19
20
153
112
160
10
22
3
19
30
11
128
95
31
20
68
33
43.9	Mean
41.4105	Stdev

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