In: Statistics and Probability
The attached file contains trials data of a school's Track & Field meet's long jump competition. Find a 95% confidence interval for the difference in the means of populations Grade7 and Grade8.
Step 1: Perform an ANOVA and find MSE .
Step 2: State the statistic.
Step 3: Find t* from the t-distribution.
Step 4: Find a 95% confidence interval for the difference in the means of populations Grade7 and Grade8.
Step 5: Using Bootstrap, find a 95% confidence interval for the difference in the means of populations Grade7 and Grade8.
Test for a difference in population means between groups Grade5 and Grade6. Show all details of the test.
Step 6: State the Hypotheses.
Step 7: Provide a snapshot of the ANOVA table.
Step 8: Find the t-statistic
Step 9: Find the p-value
Step 10: What is the conclusion of the test?
grade | inches |
grade5 | 90.27331 |
grade5 | 84.70466 |
grade5 | 86.38589 |
grade5 | 83.2748 |
grade5 | 80.96984 |
grade5 | 95.38951 |
grade6 | 72.67899 |
grade6 | 75.32279 |
grade6 | 73.92181 |
grade6 | 68.57188 |
grade6 | 78.84848 |
grade6 | 87.65805 |
grade7 | 85.94005 |
grade7 | 69.57773 |
grade7 | 72.43508 |
grade7 | 82.18177 |
grade7 | 94.19027 |
grade7 | 75.67511 |
grade8 | 61.88902 |
grade8 | 72.57855 |
grade8 | 72.06824 |
grade8 | 69.97857 |
grade8 | 62.15302 |
grade8 | 77.3306 |