Below are the data from the study described in lecture about assessing whether Beagles or German Shepherds Dogs dig more holes. Once again, my buddy Mike hypothesizes that Beagles will dig more holes than Shepherds. Ten of each dog species are randomly assigned to fresh backyards. Mike goes to work and counts the number of holes dug in each yard when he gets home. As expected, one of the Beagles escaped, so that Beagle's score was SC eliminated from the data (i.e., n = 10 for the Shepherds, but n = 9 for the %3D Beagles). Go through the steps of hypothesis testing and evaluate Mike's hypothesis, using alpha = .05. Beagles GSD 12 6 7 10 6 8 2 8 1 14 1
Below are the data from the study described in lecture about assessing whether Beagles or German Shepherds Dogs dig more holes. Once again, my buddy Mike hypothesizes that Beagles will dig more holes than Shepherds. Ten of each dog species are randomly assigned to fresh backyards. Mike goes to work and counts the number of holes dug in each yard when he gets home. As expected, one of the Beagles escaped, so that Beagle's score was SC eliminated from the data (i.e., n = 10 for the Shepherds, but n = 9 for the %3D Beagles). Go through the steps of hypothesis testing and evaluate Mike's hypothesis, using alpha = .05. Beagles GSD 12 6 7 10 6 8 2 8 1 14 1
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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Transcribed Image Text:Below are the data from the study described in the lecture about assessing whether Beagles or German Shepherd Dogs dig more holes. Once again, my buddy Mike hypothesizes that Beagles will dig more holes than Shepherds. Ten of each dog species are randomly assigned to fresh backyards. Mike goes to work and counts the number of holes dug in each yard when he gets home. As expected, one of the Beagles escaped, so that Beagle’s score was eliminated from the data (i.e., n = 10 for the Shepherds, but n = 9 for the Beagles). Go through the steps of hypothesis testing and evaluate Mike’s hypothesis, using alpha = .05.
| Beagles | GSD |
|---------|-----|
| 12 | 6 |
| 8 | 2 |
| 7 | 0 |
| 10 | 1 |
| 6 | 8 |
| 2 | 4 |
| 8 | 1 |
| 14 | 1 |
| 9 | 5 |
| - | 2 |
Hypothesis testing steps:
1. **State the Hypotheses:**
- Null Hypothesis (H0): There is no difference in the number of holes dug between Beagles and German Shepherd Dogs.
- Alternative Hypothesis (H1): Beagles dig more holes than German Shepherd Dogs.
2. **Choose the Significance Level:**
- Alpha = 0.05
3. **Calculate the Test Statistic:**
- Use an appropriate statistical test (e.g., t-test) for the given data.
4. **Make a Decision:**
- Compare the p-value to the alpha level to determine if you should reject or fail to reject the null hypothesis.
5. **Interpret the Results:**
- Based on your decision, interpret whether Mike's hypothesis is supported by the data.
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