Please interpret the output below. What type of test was used and why? Are energy costs lower for LEED-certified buildings in this output? These data have an effect size of d = .39. How does that add to your interpretation of the results?
Yearly Energy Costs LEED- Certified Buildings (in thousands of $) |
Yearly Energy Costs non-LEED- Certified Buildings (in thousands of $) |
||
Mean |
18.22 |
21.46 |
|
Variance |
1548.27 |
1318.33 |
|
Observations |
60 |
55 |
|
Hypothesized Mean Difference |
0 |
||
df |
73 |
||
t Stat |
-1.678 |
||
P(T<=t) one-tail |
0.048 |
||
t Critical one-tail |
1.667 |
||
P(T<=t) two-tail |
0.096 |
||
t Critical two-tail |
1.993 |
Here student independent sample 't' test was used.
Reason: Here two independent groups are there and also we are testing mean energy costs between two groups.
IT IS A ONE - TAILED TEST
Here research hypothesis is Are energy costs lower for LEED-certified buildings in this output?
Ho: mean difference = 0 Vs. H1: mean1<mean2
Therefore t-statistic = -1.678 and one tailed p = 0.048
Here p <0.05 hence we reject Null hypothesis.
Conclusion: There was an enough evidence that the energy costs lower for LEED-certified buildings
Here effect size of d = .39, it indicates medium effect i.e. likely to be different in the means.
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