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.

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**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.)
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.
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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