MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You are testing the claim that having lights on at night increases weight gain. A sample of 10 mice lived in an environment with bright light on all of the time, and 8 mice lived in an environment with a normal light/dark cycle. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to three decimal places.

Data available at [StatKey, choose Mice Wgt Gain-2e data set](link).

| Light (x₁) | Dark (x₂) |
|------------|----------|
| 1.71       | 2.27     |
| 4.67       | 2.53     |
| 4.99       | 2.83     |
| 5.33       | 4.00     |
| 5.43       | 4.21     |
| 6.94       | 4.60     |
| 7.15       | 5.95     |
| 9.17       | 6.52     |
| 10.26      |          |
| 11.67      |          |

### Hypotheses

Select the correct symbols in the order they appear in the problem.

- Null Hypothesis (H₀): 
  - μ₁ = μ₂

- Alternative Hypothesis (Hₐ): 
  - μ₁ > μ₂

### Findings

Based on the hypotheses, determine the following:

- **Test Statistic:** [Blank space for answer] (Hint: difference in means from Hₐ)
- **p-value:** [Blank space for answer]

The correct decision is to **fail to reject the null hypothesis**.

### Summary

There is **not enough evidence to support the claim** that sleeping with lights on can cause weight gain.

### Graphs and Diagrams

The table lists the weight gain of mice in two environments: continuous light and a normal light/dark cycle. The weights are displayed in two columns for easy comparison.
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Transcribed Image Text:You are testing the claim that having lights on at night increases weight gain. A sample of 10 mice lived in an environment with bright light on all of the time, and 8 mice lived in an environment with a normal light/dark cycle. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to three decimal places. Data available at [StatKey, choose Mice Wgt Gain-2e data set](link). | Light (x₁) | Dark (x₂) | |------------|----------| | 1.71 | 2.27 | | 4.67 | 2.53 | | 4.99 | 2.83 | | 5.33 | 4.00 | | 5.43 | 4.21 | | 6.94 | 4.60 | | 7.15 | 5.95 | | 9.17 | 6.52 | | 10.26 | | | 11.67 | | ### Hypotheses Select the correct symbols in the order they appear in the problem. - Null Hypothesis (H₀): - μ₁ = μ₂ - Alternative Hypothesis (Hₐ): - μ₁ > μ₂ ### Findings Based on the hypotheses, determine the following: - **Test Statistic:** [Blank space for answer] (Hint: difference in means from Hₐ) - **p-value:** [Blank space for answer] The correct decision is to **fail to reject the null hypothesis**. ### Summary There is **not enough evidence to support the claim** that sleeping with lights on can cause weight gain. ### Graphs and Diagrams The table lists the weight gain of mice in two environments: continuous light and a normal light/dark cycle. The weights are displayed in two columns for easy comparison.
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