Question
Do PSE&G's monthly energy reports motivate their clientele to reduce their energy consumption? PSE&G will compare the energy use of each family in the ten
Do PSE&G's monthly energy reports motivate their clientele to reduce their energy consumption? PSE&G will compare the energy use of each family in the ten randomly chosen NJ homes before and after they began receiving energy reports in 2022 and 2023 in order to investigate this question. These are the informational data:
Family | Energy use in 2022 (kWh) | Energy use in 2023 (kWh) |
A | 78 | 76 |
B | 153 | 140 |
C | 118 | 120 |
D | 95 | 110 |
E | 98 | 98 |
F | 142 | 139 |
G | 121 | 143 |
H | 80 | 79 |
I | 93 | 102 |
J | 134 | 127 |
Based on this information, we'd like to know: Did energy use decrease from 2022 to 2023?
8. Using the table method from class, calculate the difference score for each family and use the difference scores to find the unbiased standard deviation (s) for this distribution of mean differences. Please show all your work.
9. Using the unbiased standard deviation (s) from the previous question, calculate the (A) unbiased standard error (sM), and (B) paired-samplet statistic (t) for this sample. Label each part clearly. Show all formulas and work.
10. Is thet statistic from the previous question statistically significant? Provide an answer about (A) statistical significance (reject or fail to rejectH0), and (B) its interpretation (what the findings suggest about whether energy use decreased from 2022 to 2023).
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