Question

In this case, Armand's Pizza Parlors is a chain of Italian-food restaurants located in five-state area. Their most sucessful locations are the ones near college campuses. The null hypothesis is that the managers believe that quarterly sales for these restaurants (y) are related positively to the size of the student population (x). Thus, the restaurants that are near college campuses with a larger student population tend to generate more sales than the restuarants near campuses with a small student population. The alternative hypothesis is that the restaurants near college campuses with a larger student population do not generate more sales than the restaurants near college campuses with a smaller student population.

Restaurant | Population | Sales |

1 | 15 | 148 |

2 | 22 | 134 |

3 | 2 | 54 |

4 | 13 | 136 |

5 | 13 | 142 |

6 | 8 | 109 |

7 | 10 | 169 |

8 | 19 | 128 |

9 | 3 | 99 |

10 | 24 | 142 |

11 | 25 | 149 |

12 | 10 | 142 |

13 | 15 | 156 |

14 | 22 | 139 |

15 | 8 | 104 |

16 | 17 | 134 |

17 | 15 | 166 |

18 | 23 | 127 |

19 | 14 | 151 |

20 | 3 | 115 |

Answer #1

Restaurant | Population | Sales |

1 | 15 | 148 |

2 | 22 | 134 |

3 | 2 | 54 |

4 | 13 | 136 |

5 | 13 | 142 |

6 | 8 | 109 |

7 | 10 | 169 |

8 | 19 | 128 |

9 | 3 | 99 |

10 | 24 | 142 |

11 | 25 | 149 |

12 | 10 | 142 |

13 | 15 | 156 |

14 | 22 | 139 |

15 | 8 | 104 |

16 | 17 | 134 |

17 | 15 | 166 |

18 | 23 | 127 |

19 | 14 | 151 |

20 | 3 | 115 |

mean | 7.104298 | |

sd | 14.05 |

x = 9

n | y^ | t | se | x | S_xx | xbar | |

20 | 121.8565 | 2.100922 | 22.57531 | 9 | 958.95 | 14.05 | |

lower | 108.7303 |
||||||

upper | 134.9828 |
||||||

formulas used

n | y^ | t | se | x | S_xx | xbar |

20 | =103.42575 + 2.047865*E2 | =T.INV.2T(0.05,A2-2) | 22.57531 | 9 | =(A2-1) * 7.104298^2 | 14.05 |

lower | =(B2-C2*D2*SQRT(1/A2+(E2-G2)^2/F2)) | |||||

upper | =(B2+C2*D2*SQRT(1/A2+(E2-G2)^2/F2)) |

Please review the following case information and determine what
the t test means. The t test is already calculated but I need to
know what role in plays in this case analysis for the regression
analysis. Thanks in advance!
In this case, Armand's Pizza Parlors is a chain of Italian-food
restaurants located in five-state area. Their most sucessful
locations are the ones near college campuses. The null hypothesis
is that the managers believe that quarterly sales for these
restaurants (y)...

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