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
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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

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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