ull and alternative hypc At least two of the popu At least two of the popu HL = "PT "C = HSA "L HpT # Hc# SA %3D %3D HL HpT Hc # SA HL = HpT= Hc = SA %3D Not all the population HL=HPT = HC = "SA %3D %3D HL= HPT = HC = SA %3D %3D Not all the population

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

The second slide is the first part of the question  and the first slide is the second part of the question.

### Research Study on Job Satisfaction

A research study concluded that self-employed individuals do not experience a higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using a 100-point scale. Higher scores indicate higher levels of job satisfaction. 

The study involved sampling individuals from four different professions: Lawyers, Physical Therapists, Cabinetmakers, and Systems Analysts. The results are shown below for 10 individuals from each profession, with scores ranging from 18 (low satisfaction) to 86 (high satisfaction). 

#### Job Satisfaction Scores

| Lawyer | Physical Therapist | Cabinetmaker | Systems Analyst |
|--------|--------------------|--------------|-----------------|
| 38     | 50                 | 46           | 46              |
| 46     | 57                 | 55           | 38              |
| 45     | 50                 | 60           | 46              |
| 32     | 61                 | 61           | 31              |
| 53     | 80                 | 86           | 78              |
| 40     | 54                 | 80           | 60              |
| 46     | 60                 | 64           | 66              |
| 46     | 84                 | 77           | 46              |
| 76     | 77                 | 69           | 57              |
| 46     | 62                 | 57           | 42              |

#### Hypothesis Testing

At the α = 0.05 level of significance, a test is conducted to determine if there are any differences in job satisfaction among the four professions. 

- **State the null and alternative hypotheses:**

  - **Option A:**
    - \(H_0 : \mu_L = \mu_{PT} = \mu_C = \mu_{SA}\)
    - \(H_a : \text{At least two of the population means are different}\)

  - **Option B:**
    - \(H_0 : \mu_L \neq \mu_{PT} = \mu_C = \mu_{SA}\)
    - \(H_a : \text{Not all the population means are equal}\)

  - **Option C:**
    - \(H_0 : \mu_L = \mu_{PT} = \mu_C = \mu_{SA}\)
    - \(H_a
Transcribed Image Text:### Research Study on Job Satisfaction A research study concluded that self-employed individuals do not experience a higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using a 100-point scale. Higher scores indicate higher levels of job satisfaction. The study involved sampling individuals from four different professions: Lawyers, Physical Therapists, Cabinetmakers, and Systems Analysts. The results are shown below for 10 individuals from each profession, with scores ranging from 18 (low satisfaction) to 86 (high satisfaction). #### Job Satisfaction Scores | Lawyer | Physical Therapist | Cabinetmaker | Systems Analyst | |--------|--------------------|--------------|-----------------| | 38 | 50 | 46 | 46 | | 46 | 57 | 55 | 38 | | 45 | 50 | 60 | 46 | | 32 | 61 | 61 | 31 | | 53 | 80 | 86 | 78 | | 40 | 54 | 80 | 60 | | 46 | 60 | 64 | 66 | | 46 | 84 | 77 | 46 | | 76 | 77 | 69 | 57 | | 46 | 62 | 57 | 42 | #### Hypothesis Testing At the α = 0.05 level of significance, a test is conducted to determine if there are any differences in job satisfaction among the four professions. - **State the null and alternative hypotheses:** - **Option A:** - \(H_0 : \mu_L = \mu_{PT} = \mu_C = \mu_{SA}\) - \(H_a : \text{At least two of the population means are different}\) - **Option B:** - \(H_0 : \mu_L \neq \mu_{PT} = \mu_C = \mu_{SA}\) - \(H_a : \text{Not all the population means are equal}\) - **Option C:** - \(H_0 : \mu_L = \mu_{PT} = \mu_C = \mu_{SA}\) - \(H_a
**Instructions for Hypothesis Testing:**

1. **Find the value of the test statistic.**   
   - [Input box for numerical value]

2. **Find the p-value.**   
   (Round your answer to three decimal places.)  
   - \( p \)-value = [Input box for numerical value]

3. **State your conclusion.**  
   - Options:
     - Reject \( H_0 \). There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
     - Do not reject \( H_0 \). There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
     - Reject \( H_0 \). There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
     - Do not reject \( H_0 \). There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.  

**Note:** Ensure you enter calculated values correctly and select the conclusion based on your analysis to accurately reflect the results of your hypothesis test.
Transcribed Image Text:**Instructions for Hypothesis Testing:** 1. **Find the value of the test statistic.** - [Input box for numerical value] 2. **Find the p-value.** (Round your answer to three decimal places.) - \( p \)-value = [Input box for numerical value] 3. **State your conclusion.** - Options: - Reject \( H_0 \). There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. - Do not reject \( H_0 \). There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. - Reject \( H_0 \). There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. - Do not reject \( H_0 \). There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. **Note:** Ensure you enter calculated values correctly and select the conclusion based on your analysis to accurately reflect the results of your hypothesis test.
Expert Solution
Step 1

The data for 10 individuals from the four professions is given in the following table.

Lawyer  Physical Therapist  Cabinetmaker Systems Analyst
46 57 54 42
40 80 67 73
76 80 77 69
40 86 69 60
53 58 77 66
52 61 66 66
45 60 57 39
46 50 78 55
66 57 84 74
38 52 62 62

It is required to test whether there is any difference in job satisfaction among the four professions.

The given level of significance is 0.05.

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman