Table of contents

1. Intro to Stats and Collecting Data55m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically1h 45m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables2h 33m
6. Normal Distribution and Continuous Random Variables1h 38m
7. Sampling Distributions & Confidence Intervals: Mean1h 53m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample2h 19m
10. Hypothesis Testing for Two Samples3h 26m
11. Correlation1h 6m
12. Regression1h 35m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 0m

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

Statistics

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

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1:51 minutes

Problem 7.1.25

Textbook Question

Stating the Null and Alternative Hypotheses In Exercises 25–30, write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim.

Tablets A tablet manufacturer claims that the mean life of the battery for a certain model of tablet is more than 8 hours.

Verified step by step guidance

Identify the claim: The manufacturer claims that the mean life of the battery for the tablet is more than 8 hours. This is a statement about the population mean (μ).

Express the claim mathematically: The claim can be written as μ > 8, where μ represents the mean battery life in hours.

Define the null hypothesis (H₀): The null hypothesis is the statement that there is no effect or no difference. It is the complement of the claim and includes equality. Thus, H₀: μ ≤ 8.

Define the alternative hypothesis (H₁): The alternative hypothesis is the statement that supports the claim. Since the claim is that the mean battery life is more than 8 hours, H₁: μ > 8.

Identify which hypothesis represents the claim: The claim is represented by the alternative hypothesis (H₁: μ > 8). The null hypothesis (H₀: μ ≤ 8) is tested against this claim.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Null Hypothesis (H0)

The null hypothesis is a statement that indicates no effect or no difference, serving as a default position that there is no relationship between two measured phenomena. In this context, it would assert that the mean battery life of the tablet is 8 hours or less, providing a baseline for statistical testing.

Alternative Hypothesis (H1)

The alternative hypothesis is a statement that contradicts the null hypothesis, suggesting that there is an effect or a difference. For this scenario, it would claim that the mean battery life of the tablet is greater than 8 hours, representing the manufacturer's assertion and the focus of the statistical test.

Claim

A claim in hypothesis testing refers to the assertion made by the manufacturer that can be tested statistically. In this case, the claim is that the mean battery life exceeds 8 hours, which is represented by the alternative hypothesis, indicating the direction of the test and the expected outcome.

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Textbook Question

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Ha: μ < 3

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Textbook Question

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Textbook Question

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Textbook Question

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Textbook Question

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