Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.38 parts per million and the standard deviation is 2.11 parts per million. At a = 0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. The claim is the alternative hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = -1.29. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. O A. OC. OD. - to to t>to to 0 to (c) Find the standardized test statistic, t. The standardized test statistic is t=|. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

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**Hypothesis Testing for Carbon Monoxide Levels in U.S. Cities**

**Problem Statement:**
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for a random sample of 65 cities is 2.38 parts per million, and the standard deviation is 2.11 parts per million. At a significance level of α = 0.10, can the claim be supported? Assume the population is normally distributed.

**Step-by-Step Solution:**

**Part (a): Formulate the Hypothesis**
- The claim is the **alternative hypothesis**.

**Part (b): Critical Value and Rejection Region**
- Use technology to find the critical value(s) and identify the rejection region(s).
  - The critical value is \( t_0 = -1.29 \).
  - (The critical value is rounded to two decimal places)
- Choose the graph that shows the rejection region:
  - **Graph B** is correct as it displays the rejection region \( t < t_0 \).

**Part (c): Standardized Test Statistic**
- Find the standardized test statistic, \( t \).
  - The formula and calculation are represented in the interactive part of the test.
  - (Round to two decimal places as needed)

**Graphs:**
- **Graph B:** The curve represents a normal distribution centered around 0. The shaded area to the left of the critical value \( t_0 = -1.29 \) indicates the rejection region, supporting the claim if the test statistic falls within this area.

Please use the provided inputs and computation tools to complete the test statistic value and verify the claim. This structured approach aids in understanding hypothesis testing and critical value determination in basic statistics.
Transcribed Image Text:**Hypothesis Testing for Carbon Monoxide Levels in U.S. Cities** **Problem Statement:** Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for a random sample of 65 cities is 2.38 parts per million, and the standard deviation is 2.11 parts per million. At a significance level of α = 0.10, can the claim be supported? Assume the population is normally distributed. **Step-by-Step Solution:** **Part (a): Formulate the Hypothesis** - The claim is the **alternative hypothesis**. **Part (b): Critical Value and Rejection Region** - Use technology to find the critical value(s) and identify the rejection region(s). - The critical value is \( t_0 = -1.29 \). - (The critical value is rounded to two decimal places) - Choose the graph that shows the rejection region: - **Graph B** is correct as it displays the rejection region \( t < t_0 \). **Part (c): Standardized Test Statistic** - Find the standardized test statistic, \( t \). - The formula and calculation are represented in the interactive part of the test. - (Round to two decimal places as needed) **Graphs:** - **Graph B:** The curve represents a normal distribution centered around 0. The shaded area to the left of the critical value \( t_0 = -1.29 \) indicates the rejection region, supporting the claim if the test statistic falls within this area. Please use the provided inputs and computation tools to complete the test statistic value and verify the claim. This structured approach aids in understanding hypothesis testing and critical value determination in basic statistics.
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