## 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).

### Attempt History

Attempt | Time | Score | |
---|---|---|---|

LATEST | Attempt 1 | 30 minutes | 8 out of 10 * |

*** Some questions not yet graded

_{0}: The sample drawn from the population reflects the population, or M = µ

_{0}: The sample drawn from the population reflects the population, or M ≠ µ

_{1}: The sample drawn from the population reflects the population, or M = µ

_{1}: The sample drawn from the population does not reflect the population, or M ≠ µ

Now, Compute the test statistic (Use the formulas in the book / lecture to calculate the correct statistic). Which of the following is the correct value? Remember that you will need to calculate the population standard deviation first (remember to use n rather than n-1 for the population standard deviation calculation).

Mean number of household sold by Pat’s company is not more than population

NOW, imagine we selected the following individuals (agents E, F, G, and H) from a different group from the same overall the real estate company (from the same population). Does this group significantly differ from the population (entire company)? What is the z value? Round your answer out to two decimal places.

Agent |
Number of homes sold in 2018 |
---|---|

E | 9 |

F | 12 |

G | 10 |

H | 4 |