For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. The standard deviation of the base price of a certain type of all-terrain vehicle is no more than $321. Write the claim as a mathematical statement. O A. o2321 O B. o> 321 O D. 6= 321 O E. o5321 OF Choose the correct null and alternative hypotheses below. O A. Ho: o< 321 Ha: o2 321 O B. Ho: 02321 Ha o<321 O E. Ho: 6>321 H: o5321 O D. Ho: o =321 Ha: o+ 321 Identify which is the claim.

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For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.

**The standard deviation of the base price of a certain type of all-terrain vehicle is no more than $321.**

Options:
- D. \( \sigma = 321 \)
- E. \( \sigma \leq 321 \)
- F. \( \sigma \neq 321 \)

Choose the correct null and alternative hypotheses below.

Options:
- A. \( H_0: \sigma < 321 \)  
  \( H_a: \sigma \geq 321 \)
- B. \( H_0: \sigma \geq 321 \)  
  \( H_a: \sigma < 321 \)
- C. \( H_0: \sigma \neq 321 \)  
  \( H_a: \sigma = 321 \)
- D. \( H_0: \sigma = 321 \)  
  \( H_a: \sigma \neq 321 \)
- E. \( H_0: \sigma \leq 321 \)  
  \( H_a: \sigma > 321 \)
- F. \( H_0: \sigma > 321 \)  
  \( H_a: \sigma \leq 321 \)

Identify which is the claim.

Options:
- A. The alternative hypothesis \( H_a: \sigma > 321 \) is the claim.
- B. The alternative hypothesis \( H_a: \sigma < 321 \) is the claim.
- C. The null hypothesis \( H_0: \sigma = 321 \) is the claim.
- D. The alternative hypothesis \( H_a: \sigma \neq 321 \) is the claim.
- E. The null hypothesis \( H_0: \sigma \leq 321 \) is the claim.
- F. The null hypothesis \( H_0: \sigma < 321 \) is the claim.
Transcribed Image Text:For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. **The standard deviation of the base price of a certain type of all-terrain vehicle is no more than $321.** Options: - D. \( \sigma = 321 \) - E. \( \sigma \leq 321 \) - F. \( \sigma \neq 321 \) Choose the correct null and alternative hypotheses below. Options: - A. \( H_0: \sigma < 321 \) \( H_a: \sigma \geq 321 \) - B. \( H_0: \sigma \geq 321 \) \( H_a: \sigma < 321 \) - C. \( H_0: \sigma \neq 321 \) \( H_a: \sigma = 321 \) - D. \( H_0: \sigma = 321 \) \( H_a: \sigma \neq 321 \) - E. \( H_0: \sigma \leq 321 \) \( H_a: \sigma > 321 \) - F. \( H_0: \sigma > 321 \) \( H_a: \sigma \leq 321 \) Identify which is the claim. Options: - A. The alternative hypothesis \( H_a: \sigma > 321 \) is the claim. - B. The alternative hypothesis \( H_a: \sigma < 321 \) is the claim. - C. The null hypothesis \( H_0: \sigma = 321 \) is the claim. - D. The alternative hypothesis \( H_a: \sigma \neq 321 \) is the claim. - E. The null hypothesis \( H_0: \sigma \leq 321 \) is the claim. - F. The null hypothesis \( H_0: \sigma < 321 \) is the claim.
**Transcription for Educational Use**

---

**Understanding Hypothesis Testing for a Claim**

**Problem Statement:**
For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.

"The standard deviation of the base price of a certain type of all-terrain vehicle is no more than $321."

**Task 1: Write the Claim as a Mathematical Statement**

Options:
- A. \(\sigma = 321\)
- B. \(\sigma > 321\)
- C. \(\sigma < 321\)
- D. \(\sigma \leq 321\)
- E. \(\sigma \geq 321\)
- F. \(\sigma \neq 321\)

**Task 2: Choose the Correct Null and Alternative Hypotheses**

Options:
- A. \(H_0: \sigma < 321\), \(H_a: \sigma \geq 321\)
- B. \(H_0: \sigma \leq 321\), \(H_a: \sigma > 321\)
- C. \(H_0: \sigma \neq 321\), \(H_a: \sigma = 321\)
- D. \(H_0: \sigma = 321\), \(H_a: \sigma \neq 321\)
- E. \(H_0: \sigma \geq 321\), \(H_a: \sigma < 321\)
- F. \(H_0: \sigma > 321\), \(H_a: \sigma \leq 321\)

**Task 3: Identify Which is the Claim**

Options:
- A. The alternative hypothesis \(H_a: \sigma > 321\) is the claim.
- B. The alternative hypothesis \(H_a: \sigma < 321\) is the claim.
- C. The null hypothesis \(H_0: \sigma = 321\) is the claim.
- D. The alternative hypothesis \(H_a: \sigma \neq 321\) is the claim.

---

This problem is designed to help you understand how to formulate and test claims using statistical methods. Specifically, it involves writing a mathematical statement for a given claim, selecting the appropriate null and alternative hypotheses, and determining which hypothesis represents the initial claim about the standard deviation of vehicle prices.
Transcribed Image Text:**Transcription for Educational Use** --- **Understanding Hypothesis Testing for a Claim** **Problem Statement:** For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. "The standard deviation of the base price of a certain type of all-terrain vehicle is no more than $321." **Task 1: Write the Claim as a Mathematical Statement** Options: - A. \(\sigma = 321\) - B. \(\sigma > 321\) - C. \(\sigma < 321\) - D. \(\sigma \leq 321\) - E. \(\sigma \geq 321\) - F. \(\sigma \neq 321\) **Task 2: Choose the Correct Null and Alternative Hypotheses** Options: - A. \(H_0: \sigma < 321\), \(H_a: \sigma \geq 321\) - B. \(H_0: \sigma \leq 321\), \(H_a: \sigma > 321\) - C. \(H_0: \sigma \neq 321\), \(H_a: \sigma = 321\) - D. \(H_0: \sigma = 321\), \(H_a: \sigma \neq 321\) - E. \(H_0: \sigma \geq 321\), \(H_a: \sigma < 321\) - F. \(H_0: \sigma > 321\), \(H_a: \sigma \leq 321\) **Task 3: Identify Which is the Claim** Options: - A. The alternative hypothesis \(H_a: \sigma > 321\) is the claim. - B. The alternative hypothesis \(H_a: \sigma < 321\) is the claim. - C. The null hypothesis \(H_0: \sigma = 321\) is the claim. - D. The alternative hypothesis \(H_a: \sigma \neq 321\) is the claim. --- This problem is designed to help you understand how to formulate and test claims using statistical methods. Specifically, it involves writing a mathematical statement for a given claim, selecting the appropriate null and alternative hypotheses, and determining which hypothesis represents the initial claim about the standard deviation of vehicle prices.
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