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

 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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