Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 35 minutes. Assume that a simple random sample has been selected. Use a 0.05 significance level. Compare the sample mean to the claimed mean of 35 minutes. Is the difference between those two values statistically significant? Click the icon to view the Los Angeles commute times. dentify the null and alternative hypotheses. Ho 1₁:0 Type integers or decimals. Do not round.) dentify the test statistic. 7 Round to two decimal places as needed.) dentify the P-value. 7 Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. sufficient evidence at the 0.05 significance level to the null hypothesis. There The sample mean is minute(s) Round to one decimal place as needed.) the claimed mean of 35 minutes; this difference the claim that the mean Los Angeles commute time is less than 35 minutes. statistically significant by the standard of this test. Los Angeles Commute Times Reported daily commute times (minutes) to work from workers of age 16 and older in Los Angeles. Data are from the U.S. Census Bureau's 2017 American Community Survey. X

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### Educational Resource: Statistical Analysis on Los Angeles Commute Times

#### Objective:
Use the accompanying data of 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 35 minutes. Assuming a simple random sample has been chosen, evaluate this claim using a 0.05 significance level.

---

#### Statistical Hypothesis:

- **Null Hypothesis (H₀):** The mean commute time is 35 minutes (μ = 35).
- **Alternative Hypothesis (H₁):** The mean commute time is less than 35 minutes (μ < 35).

Input necessary values without rounding integers or decimals.

#### Statistical Procedures:

1. **Identify the Test Statistic:**

   - Calculate and input the test statistic.
   - Round the result to two decimal places.

2. **Identify the P-value:**

   - Determine the P-value for the test statistic.
   - Round the result to three decimal places.

#### Conclusion Analysis:

Based on the results, make a decision regarding:

- **The Null Hypothesis:** Choose to reject or fail to reject the null hypothesis based on the evidence.
- **Final Conclusion:** Decide whether there is sufficient evidence at the 0.05 significance level to support the claim that the mean commute time is less than 35 minutes.

The sample mean should be calculated and compared to the claimed mean of 35 minutes, and then determine if this difference is statistically significant according to the test standards.

- Input the sample mean rounded to one decimal place.

---

#### Data:
A data table (not fully displayed here) includes reported daily commute times, in minutes, for workers aged 16 and older in Los Angeles from the U.S. Census Bureau's 2017 American Community Survey. Example entries:

- 20, 5
- 10, 40
- 20, 65
- 15, 25

Continue scrolling through the table to see more data entries.
Transcribed Image Text:### Educational Resource: Statistical Analysis on Los Angeles Commute Times #### Objective: Use the accompanying data of 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 35 minutes. Assuming a simple random sample has been chosen, evaluate this claim using a 0.05 significance level. --- #### Statistical Hypothesis: - **Null Hypothesis (H₀):** The mean commute time is 35 minutes (μ = 35). - **Alternative Hypothesis (H₁):** The mean commute time is less than 35 minutes (μ < 35). Input necessary values without rounding integers or decimals. #### Statistical Procedures: 1. **Identify the Test Statistic:** - Calculate and input the test statistic. - Round the result to two decimal places. 2. **Identify the P-value:** - Determine the P-value for the test statistic. - Round the result to three decimal places. #### Conclusion Analysis: Based on the results, make a decision regarding: - **The Null Hypothesis:** Choose to reject or fail to reject the null hypothesis based on the evidence. - **Final Conclusion:** Decide whether there is sufficient evidence at the 0.05 significance level to support the claim that the mean commute time is less than 35 minutes. The sample mean should be calculated and compared to the claimed mean of 35 minutes, and then determine if this difference is statistically significant according to the test standards. - Input the sample mean rounded to one decimal place. --- #### Data: A data table (not fully displayed here) includes reported daily commute times, in minutes, for workers aged 16 and older in Los Angeles from the U.S. Census Bureau's 2017 American Community Survey. Example entries: - 20, 5 - 10, 40 - 20, 65 - 15, 25 Continue scrolling through the table to see more data entries.
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