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.

RestaurantPopulationSales
115148
222134
3254
413136
513142
68109
710169
819128
9399
1024142
1125149
1210142
1315156
1422139
158104
1617134
1715166
1823127
1914151
203

115



Homework Answers

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))
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