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 20 days. At the0.10 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.H0:H1: Determine the test statistic.The test statistic is ___. the t critical is t.005,49 = 2.6800 since the t stat is more than the t critical we reject Ho State the conclusion. __A__ H0. There is __B__ evidence to conclude that the mean number of days is different from 20. A: Reject or do not rejectB: sufficient or insufficient **Data Table Overview**The table provides a dataset representing the number of days between the receipt and resolution of complaints. Each number indicates the duration, in days, for different cases or instances.**Data Table:**```55 64 2 37 135 35 23 155 2 12874 68 20 17 14 125 102 107 24 9282 36 34 25 21 5 166 39 3520 29 29 1 10 19 10 17 20 1727 52 38 26 32 25 21 26 36 60```**Explanation:**- **Rows and Columns:** The data is organized in a rectangular format. There are five rows and varying numbers of columns per row.- **Values:** Each value in the table represents the total days taken to resolve separate complaints, showcasing considerable variability. Some complaints are resolved in just 1 to 2 days, while others take over 100 days.- **Use Case:** This data can be useful for analyzing patterns in complaint resolution times, identifying outliers, and improving customer service processes by reducing the time to resolve complaints.This table can be used to facilitate discussions or learning activities about data management, statistical analysis, and operational efficiency.

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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.The supervisor claims that the mean num

Solution: n= 50 Sample size ∑xi=2239x=∑xin=223950=44.78 Sample means2=∑(xi-x)2n-1=1704.828 Sample…

Answered: ast 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 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.

H0:

H1:

Determine the test statistic.

The test statistic is ___.

the t critical is t.005,49 = 2.6800

since the t stat is more than the t critical we reject Ho

State the conclusion.

__A__ H0. There is __B__ evidence to conclude that the mean number of days is different from 20.

A: Reject or do not reject

B: sufficient or insufficient

**Data Table Overview**

The table provides a dataset representing the number of days between the receipt and resolution of complaints. Each number indicates the duration, in days, for different cases or instances.

**Data Table:**

```
55 64 2 37 135 35 23 155 2 128
74 68 20 17 14 125 102 107 24 92
82 36 34 25 21 5 166 39 35
20 29 29 1 10 19 10 17 20 17
27 52 38 26 32 25 21 26 36 60
```

**Explanation:**

- **Rows and Columns:** The data is organized in a rectangular format. There are five rows and varying numbers of columns per row.

- **Values:** Each value in the table represents the total days taken to resolve separate complaints, showcasing considerable variability. Some complaints are resolved in just 1 to 2 days, while others take over 100 days.

- **Use Case:** This data can be useful for analyzing patterns in complaint resolution times, identifying outliers, and improving customer service processes by reducing the time to resolve complaints.

This table can be used to facilitate discussions or learning activities about data management, statistical analysis, and operational efficiency.

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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