For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 8 hours. Write the claim as a mathematical statement. O A. u>8 O D. p28 Ο Β. μ<8 OC. p=8 O E. µ#8 OF. us8 Choose the correct null and alternative hypotheses below. O A. Ho H<8 O B. Ho: H58 OC. Ho: u>8 Ha µ>8 O D. Ho 28 Ha µ<8 O E. Ho: H#8 Ha H= 8 OF. Ho =8 H p#8 Identify which is the claim. O A. The null hypothesis Ho: us8 is the claim O B. The null hypothesis Ho: H28 is the claim. hounathania u *O in ha alaim Tha altarnati. Next Statcrunch Calculator Cont Privacy Policy | Permissions Copyright © 2021 Pearson Education Inc. All rights reserved. Terms of Use 65°F a re to search 远

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 8 hours.

**Write the claim as a mathematical statement:**

- A. μ > 8
- B. μ < 8
- C. μ = 8
- D. μ ≥ 8
- E. μ ≤ 8
- F. μ ≠ 8

**Choose the correct null and alternative hypotheses below:**

- A. \(H_0\): μ ≤ 8 
  \(H_a\): μ > 8

- B. \(H_0\): μ ≤ 8 
  \(H_a\): μ > 8

- C. \(H_0\): μ > 8 
  \(H_a\): μ ≤ 8

- D. \(H_0\): μ ≥ 8 
  \(H_a\): μ < 8

- E. \(H_0\): μ ≠ 8 
  \(H_a\): μ = 8

- F. \(H_0\): μ = 8 
  \(H_a\): μ ≠ 8

**Identify which is the claim:**

- A. The null hypothesis \(H_0\): μ ≤ 8 is the claim
- B. The null hypothesis \(H_0\): μ ≥ 8 is the claim
- C. The alternative hypothesis \(H_a\): μ < 8 is the claim
Transcribed Image Text:A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 8 hours. **Write the claim as a mathematical statement:** - A. μ > 8 - B. μ < 8 - C. μ = 8 - D. μ ≥ 8 - E. μ ≤ 8 - F. μ ≠ 8 **Choose the correct null and alternative hypotheses below:** - A. \(H_0\): μ ≤ 8 \(H_a\): μ > 8 - B. \(H_0\): μ ≤ 8 \(H_a\): μ > 8 - C. \(H_0\): μ > 8 \(H_a\): μ ≤ 8 - D. \(H_0\): μ ≥ 8 \(H_a\): μ < 8 - E. \(H_0\): μ ≠ 8 \(H_a\): μ = 8 - F. \(H_0\): μ = 8 \(H_a\): μ ≠ 8 **Identify which is the claim:** - A. The null hypothesis \(H_0\): μ ≤ 8 is the claim - B. The null hypothesis \(H_0\): μ ≥ 8 is the claim - C. The alternative hypothesis \(H_a\): μ < 8 is the claim
For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.

**A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 8 hours.**

- **Options for Hypotheses:**
  - A. \( H_0: \mu \leq 8 \)  
       \( H_a: \mu > 8 \)

  - B. \( H_0: \mu \geq 8 \)  
       \( H_a: \mu < 8 \)

  - C. \( H_0: \mu > 8 \)  
       \( H_a: \mu \leq 8 \)

  - D. \( H_0: \mu = 8 \)  
       \( H_a: \mu < 8 \)

  - E. \( H_0: \mu = 8 \)  
       \( H_a: \mu > 8 \)

  - F. \( H_0: \mu = 8 \)  
       \( H_a: \mu \neq 8 \)

- **Identify Which is the Claim:**
  - A. The null hypothesis \( H_0: \mu \leq 8 \) is the claim
  - B. The null hypothesis \( H_0: \mu \geq 8 \) is the claim
  - C. The alternative hypothesis \( H_a: \mu < 8 \) is the claim
  - D. The null hypothesis \( H_0: \mu = 8 \) is the claim
  - E. The alternative hypothesis \( H_a: \mu > 8 \) is the claim
  - F. The alternative hypothesis \( H_a: \mu \neq 8 \) is the claim

**Answer:**
The correct hypotheses representing the manufacturer's claim that the mean life of the battery is less than 8 hours are:

- Null Hypothesis: \( H_0: \mu \geq 8 \)
- Alternative Hypothesis: \( H_a: \mu < 8 \)

The claim is represented by option B: The alternative hypothesis \( H_a: \mu < 8 \) 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. **A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 8 hours.** - **Options for Hypotheses:** - A. \( H_0: \mu \leq 8 \) \( H_a: \mu > 8 \) - B. \( H_0: \mu \geq 8 \) \( H_a: \mu < 8 \) - C. \( H_0: \mu > 8 \) \( H_a: \mu \leq 8 \) - D. \( H_0: \mu = 8 \) \( H_a: \mu < 8 \) - E. \( H_0: \mu = 8 \) \( H_a: \mu > 8 \) - F. \( H_0: \mu = 8 \) \( H_a: \mu \neq 8 \) - **Identify Which is the Claim:** - A. The null hypothesis \( H_0: \mu \leq 8 \) is the claim - B. The null hypothesis \( H_0: \mu \geq 8 \) is the claim - C. The alternative hypothesis \( H_a: \mu < 8 \) is the claim - D. The null hypothesis \( H_0: \mu = 8 \) is the claim - E. The alternative hypothesis \( H_a: \mu > 8 \) is the claim - F. The alternative hypothesis \( H_a: \mu \neq 8 \) is the claim **Answer:** The correct hypotheses representing the manufacturer's claim that the mean life of the battery is less than 8 hours are: - Null Hypothesis: \( H_0: \mu \geq 8 \) - Alternative Hypothesis: \( H_a: \mu < 8 \) The claim is represented by option B: The alternative hypothesis \( H_a: \mu < 8 \) is the claim.
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