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The local power company is testing a new type of thermostat that automatically changes the air conditioning settings on peak days to see if using

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The local power company is testing a new type of thermostat that automatically changes the air conditioning settings on "peak days" to see if using the new thermostat will reduce power consumption. The power company randomly selects 35 homes of a similar size to test the new thermostat. They compare the average summer power consumption before and after the new thermostat is installed. The power company wishes to find out if there is evidence to suggest that energy use was significantly higher before the new thermostats were installed (with lower energy use after the new thermostats were installed). Given the design of the study and the question of interest, which one of the following four computer outputs is relevant to use? O Paired T-Test Sample N Mean StDev SE Mean Before 35 8 1.4142136 0.23904572 After 35 7.5714286 1.6140143 0.2728182 Difference 35 0.42857143 0.77784447 0.13147971 T-test of mean difference = 0 (vs. # 0); T-value - -3.2596, p-value -0.0025 O Two Sample T-Test Sample N Mean StDev SE Mean Before 35 8 1.4142136 0.23904572 After 35 7.5714286 1.6140143 0.2728182 Difference = mu (Before) - mu (after) Estimate for difference: 0.429 T-test of difference - 0 (vs >): T-value- 1.1815 P-value = 0.1208 DF =68 O Two Sample T-Test Sample N Mean StDev SE Mean Before 35 8 1.4142136 0.23904572 After 35 7.5714286 1.6140143 0.2728182 Difference = mu (Before) - mu (after) Estimate for difference: 0.429 T-test of difference - 0 (vs not =): T-value -1.1815 P-value - 0.2415 DF - 68 O Paired T-Test Sample N Mean StDev SE Mean Before 35 8 1.4142136 0.23904572 After 35 7.5714286 1.6140143 0.2728182 Differences 35 0.42857143 0.77784447 0.13147971 T-test of mean difference - 0 (vs. > 0): T-value- 3.2596, p-value - 0.0013

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