You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. 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 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: H, Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: H₁ Based on the hypotheses, find the following: Test Statistic = p-value = Select an answer ✓ Select an answer V (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim lights on can cause weight gain. o that sleeping with
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. 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 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: H, Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: H₁ Based on the hypotheses, find the following: Test Statistic = p-value = Select an answer ✓ Select an answer V (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim lights on can cause weight gain. o that sleeping with
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.
| 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2995aa7-eb9d-45f3-8f01-89ee9ae70a2c%2Ffa18d3ea-dbd8-4ca7-99b5-d3d6b062a8a2%2Frl423iv_processed.png&w=3840&q=75)
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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