Question 5 of 13 Whiting, Indiana, leads the \"Top 100 Cities with the oldest Ho

Question

Question 5 of 13 Whiting, Indiana, leads the "Top 100 Cities with the oldest Houses" list with the average age of houses being 63.syears. Farther down the list resides Franklin, Pennsylvania, with an average house age of 57.1 years. Researchers selected a random sample of15 houses in each city and obtained the following statistics. At a 0.01, can it be concluded that the houses in Whiting are older Use the P alno mot had Aeenme tha variahloe arp nearmallv dietrihntod and tho varianeoe aro nnonnal

Explanation / Answer

From the given data we have

This is one tailed test.

p-value = 0.0011

As p-value is less than significance level of 0.05, we reject the null hypothesis.

There is enough evidence to support the claim that the houses in Whiting are older.

x1(bar) 63.50 x2(bar) 57.10 s1 5.40 s2 3.90 n1 15 n2 15 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 1.9440 (s22/n2) 1.0140 SE 1.72 DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] } [ (s12 / n1)2 / (n1 - 1) ] 0.27 [ (s22 / n2)2 / (n2 - 1) ] 0.07 (s12/n1 + s22/n2)2 8.75 DF = 25

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