Two energy saving concepts in home building are solar powered homes and earth sheltered homes. Suppose you are drawing up plans for a new home and want to compare the expected annual heating costs for the two types of innovation. Independent random samples of solar-powered homes yielded the summary data on annual heating costs shown below. Assume random and independent sampling, and that the homes were comparable with respect to size, climatic conditions, etc.
Is there evidence (at the a = 0.05 significance level) that the mean annual cost of heating an earth sheltered home is significantly less than the corresponding cost of heating a solar powered home?
SOLAR POWERED EARTH-SHELTERED
n = 12
n = 6
m1=$ 285
m2= $ 234
s = $ 55
s = $ 26
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use perhaps the Riemann’s dzeta function