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. X Los Angeles Commute Times Identify the null and alternative hypotheses. Mọi 135 H₁ H35 (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) 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 LOS ANGELES CA 30 25 25 30 45 20 60 20 141 5 60 30 45 30 45 10 20 15 15 30 40 10 30 141 30 30 15 30 30 10 40 15 10 10 90 30 20 10 35 30 40 35 30 10 30 30 35 45 20 60 45 10 40 55 30 35 20 40 15 20 40

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**Educational Website Content on Hypothesis Testing: Los Angeles Commute Times**

---

**Purpose:**
This exercise aims to test the claim that the mean commute time for workers in Los Angeles is less than 35 minutes. A random sample of 200 commute times is analyzed using a 0.05 significance level. The task is to evaluate if the sample mean significantly differs from the claimed population mean of 35 minutes.

**Steps:**

1. **Identify the Hypotheses:**

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

   - **Input:** Type integers or decimals. Avoid rounding.

2. **Identify the Test Statistic:**

   - **Calculation:** Enter the value rounded to two decimal places.

**Data Context:**
The data comprises reported daily commute times for people aged 16 and older in Los Angeles, sourced from the U.S. Census Bureau's 2017 American Community Survey.

**Data Visualization:**

- The dataset window lists various commute times (in minutes) for the sampled individuals. Here is a partial view of the data:

  ```
  LOS ANGELES CA
  30
  25
  30
  ...

  - Data continues in this pattern, representing several commute times for Los Angeles residents.
  ```

**Conclusion:**
Upon completing the calculations and analysis, you will determine whether the sample provides sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis at the 0.05 significance level.

**Graph/Diagram Explanation:**

- The provided screenshot does not include graphs or diagrams. It contains the numerical listing of commute times, which are the raw data for statistical analysis.

For further assistance with the statistical methods and testing procedure, feel free to consult additional resources or reach out to your instructor.

--- 

Please note that this is a basic synopsis. Advanced statistical software or calculators may be required for detailed calculations.
Transcribed Image Text:**Educational Website Content on Hypothesis Testing: Los Angeles Commute Times** --- **Purpose:** This exercise aims to test the claim that the mean commute time for workers in Los Angeles is less than 35 minutes. A random sample of 200 commute times is analyzed using a 0.05 significance level. The task is to evaluate if the sample mean significantly differs from the claimed population mean of 35 minutes. **Steps:** 1. **Identify the Hypotheses:** - **Null Hypothesis (H₀):** μ = 35 (The mean commute time is 35 minutes.) - **Alternative Hypothesis (H₁):** μ < 35 (The mean commute time is less than 35 minutes.) - **Input:** Type integers or decimals. Avoid rounding. 2. **Identify the Test Statistic:** - **Calculation:** Enter the value rounded to two decimal places. **Data Context:** The data comprises reported daily commute times for people aged 16 and older in Los Angeles, sourced from the U.S. Census Bureau's 2017 American Community Survey. **Data Visualization:** - The dataset window lists various commute times (in minutes) for the sampled individuals. Here is a partial view of the data: ``` LOS ANGELES CA 30 25 30 ... - Data continues in this pattern, representing several commute times for Los Angeles residents. ``` **Conclusion:** Upon completing the calculations and analysis, you will determine whether the sample provides sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis at the 0.05 significance level. **Graph/Diagram Explanation:** - The provided screenshot does not include graphs or diagrams. It contains the numerical listing of commute times, which are the raw data for statistical analysis. For further assistance with the statistical methods and testing procedure, feel free to consult additional resources or reach out to your instructor. --- Please note that this is a basic synopsis. Advanced statistical software or calculators may be required for detailed calculations.
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