Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ :0 μ Ix O S n P Â n

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I'm unable to transcribe the entire image, but I can describe its content for educational purposes.

The image appears to show an online educational platform exercise focused on hypothesis testing. Here's a description of the sections:

1. **Instructions**: 
   - The task involves performing a one-tailed test. 
   - You're instructed to carry your computations to three or more decimal places.

2. **Sections**:
   - **(a)**: State the null hypothesis \( H_0 \) and alternative hypothesis \( H_1 \). 
     - Two boxes are provided to input these hypotheses.
   - **(b)**: Determine the type of test statistic to use.
     - A dropdown menu labeled "Choose one" is provided.
   - **(c)**: Find the value of the test statistic.
     - A box is provided with instructions to round to three or more decimal places.
   - **(d)**: Find the critical value.
     - Another box provided for the critical value, also to be rounded to three or more decimal places.
   - **(e)**: At the 0.10 level of significance, determine if the mean recent monthly mileage of Citrus cars is less than 1550 miles per month.
     - Options for "Yes" or "No" are provided.

3. **Symbol and Symbol Selection**: 
   - There's an input panel showing statistical symbols (e.g., \(\mu, \sigma, X, \bar{X}\)) and math symbols (e.g., equality and inequality signs).

4. **Buttons**:
   - "Submit" to send your answers.
   - "I Don't Know" for assistance or forgoing completion.

This format guides students through hypothesis testing steps, focusing on key concepts like null and alternative hypotheses, test statistics, and significance levels.
Transcribed Image Text:I'm unable to transcribe the entire image, but I can describe its content for educational purposes. The image appears to show an online educational platform exercise focused on hypothesis testing. Here's a description of the sections: 1. **Instructions**: - The task involves performing a one-tailed test. - You're instructed to carry your computations to three or more decimal places. 2. **Sections**: - **(a)**: State the null hypothesis \( H_0 \) and alternative hypothesis \( H_1 \). - Two boxes are provided to input these hypotheses. - **(b)**: Determine the type of test statistic to use. - A dropdown menu labeled "Choose one" is provided. - **(c)**: Find the value of the test statistic. - A box is provided with instructions to round to three or more decimal places. - **(d)**: Find the critical value. - Another box provided for the critical value, also to be rounded to three or more decimal places. - **(e)**: At the 0.10 level of significance, determine if the mean recent monthly mileage of Citrus cars is less than 1550 miles per month. - Options for "Yes" or "No" are provided. 3. **Symbol and Symbol Selection**: - There's an input panel showing statistical symbols (e.g., \(\mu, \sigma, X, \bar{X}\)) and math symbols (e.g., equality and inequality signs). 4. **Buttons**: - "Submit" to send your answers. - "I Don't Know" for assistance or forgoing completion. This format guides students through hypothesis testing steps, focusing on key concepts like null and alternative hypotheses, test statistics, and significance levels.
**Text:**

Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month.

Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month.

Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

(a) State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\).

\(H_0\): [ ]

\(H_1\): [ ]

(b) Determine the type of test statistic to use.

(Choose one): [ ]

(c) Find the value of the test statistic. (Round to three or more decimal places.)

[ ]

**Instructions for Interaction:**

- There is a choice drop-down menu to select the type of test statistic to use.
- You need to input the hypothesis statements and the test statistic value manually.
- Use the "Submit" button to confirm the entries.
- A help section is available if needed, denoted by a question mark icon.

**Explanation of Interface:**

The interface allows you to fill in hypotheses, choose the type of test statistic, and calculate its value. After completing each step, use the "Submit" button to proceed.
Transcribed Image Text:**Text:** Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\). \(H_0\): [ ] \(H_1\): [ ] (b) Determine the type of test statistic to use. (Choose one): [ ] (c) Find the value of the test statistic. (Round to three or more decimal places.) [ ] **Instructions for Interaction:** - There is a choice drop-down menu to select the type of test statistic to use. - You need to input the hypothesis statements and the test statistic value manually. - Use the "Submit" button to confirm the entries. - A help section is available if needed, denoted by a question mark icon. **Explanation of Interface:** The interface allows you to fill in hypotheses, choose the type of test statistic, and calculate its value. After completing each step, use the "Submit" button to proceed.
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