Instructions: Pat is the manager of a real estate group that is part of a larger real estate company. Here are the total number of home sales from 2019 for all the agents at the entire company.
4, 6, 10, 4, 8, 10, 4, 3, 2, 4, 3, 6, 0, 4, 2, 8, 4, 6, 8, 2, 5, 3, 5, 4, 12, 4, 6, 9, 10, 8
Pat wants to know if her own real estate group, which has 4 agents (the sample, in this case), has sold more homes than the rest of the company (the population). Your job is to tell me if these four agents (agents A, B, C, and D) differ in number of home sales from the population (the entire company). Remember that you need to calculate the population standard deviation first!
| Agent | Number of homes sold in 2019 |
| A | 5 |
| B | 8 |
| C | 7 |
| D | 3 |
Your job is to determine if this sample (The average of agents A, B, C, and D) differ significantly from what you would expect given the population (the rest of the company).
- State the null and alternative hypotheses
- Tell me your level of risk
- Determine the best statistical test to use
- Compute the test statistic (Use the formulas in the book / lecture to calculate this). Remember, when you are calculating the standard deviation for the population, you should divide by n in stead of n-1 because it is a population, not a sample! There is a table on the last page that can help you calculate the standard deviation for the population.
- Determine the value needed to reject the null hypothesis
- Compare the obtained and critical value
- Decide whether you will retain the null hypothesis or …
- Decide whether you will reject the null hypothesis
- Finally, write up your results as you would see it in a results section of an empirical research paper.
NOW, imagine we selected the following individuals instead:
| Agent | Number of homes sold in 2018 |
| E | 9 |
| F | 12 |
| G | 10 |
| H | 4 |
- With your discussion group, tell me if this new sample of students (E, F, G, and H) differ significantly from what you would expect given the population of the whole company? Hint: It might help to work through the eight steps again, but all I need to see for this question #10 is you APA write-up.
| Population Values | X – M | (X – M)2 | |
| M = | |||
| n | |||
| (X – M)2 / n | |||
| SD (√ ) |
