What are the correct hypotheses? Ho: Select an answer v hours H1: Select an answer v? v hours Based on the hypotheses, find the following: Test Statistic3D p-value= The correct decision is to Select an answe v that the mean The correct summary would be: Select an answer number of hours of all employees at start-up companies work more than the US mean of 47 hours.
What are the correct hypotheses? Ho: Select an answer v hours H1: Select an answer v? v hours Based on the hypotheses, find the following: Test Statistic3D p-value= The correct decision is to Select an answe v that the mean The correct summary would be: Select an answer number of hours of all employees at start-up companies work more than the US mean of 47 hours.
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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Transcribed Image Text:**Title: Statistical Analysis of Work Hours in Start-up Companies**
**Introduction:**
The standard work week for full-time adults in the United States is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company proposes that employees at start-up companies tend to work more hours than the average full-time adult in the US. To investigate this, she collects data from 12 engineering friends working at various start-ups, asking for the lengths of their work weeks in hours.
**Data Collection:**
The recorded work hours are as follows:
| Hours |
|-------|
| 49 |
| 50 |
| 52 |
| 51 |
| 46 |
| 61 |
| 45 |
| 45 |
| 50 |
| 50 |
| 51 |
| 55 |
**Objective:**
The objective is to test the claim that start-up employees work more hours on average than the general US population of full-time workers. This will be tested using a 5% level of significance.
**Methods:**
- Conduct a hypothesis test to compare the sample mean to the known population mean.
- Use a significance level of 0.05 to determine if the observed sample provides enough evidence to support the claim.
- Calculate the sample mean and standard deviation, and perform a t-test for the mean difference.
**Conclusion:**
The outcome of the hypothesis test will determine whether there is statistical evidence to support the claim that start-up employees work longer hours than the average US full-time worker.
(Note: The detailed statistical calculations and analysis should be included in the educational content to guide readers through the process.)
![**Hypothesis Testing Exercise**
**What are the correct hypotheses?**
- **\( H_0 \):** [Dropdown selection] [Textbox] hours
- **\( H_1 \):** [Dropdown selection] [Textbox] hours
**Based on the hypotheses, find the following:**
- **Test Statistic =** [Textbox]
- **p-value =** [Textbox]
**The correct decision is to** [Dropdown selection].
**The correct summary would be:** [Dropdown selection] that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa468c45c-e596-4bb7-b4b7-93a28088c315%2F39bb81d9-b3f7-40be-8063-874a8afbd4f8%2F14fkx2a_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Exercise**
**What are the correct hypotheses?**
- **\( H_0 \):** [Dropdown selection] [Textbox] hours
- **\( H_1 \):** [Dropdown selection] [Textbox] hours
**Based on the hypotheses, find the following:**
- **Test Statistic =** [Textbox]
- **p-value =** [Textbox]
**The correct decision is to** [Dropdown selection].
**The correct summary would be:** [Dropdown selection] that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
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