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Question 1: Twenty-one homes with living areas under 2000 sq ft have selling prices with a standard deviation of $32,159.73. Nineteen homes with living areas greater than 2000 sq ft have selling prices with a standard deviation of $66,628.50. At "alpha" = 0.05, test the claim that homes larger than 2000 sq ft have selling prices that vary more than that for the smaller homes.
Question 2: The table below shows the durations of eruptions, X (in minutes), and the time, Y, until the next eruption of the Old Faithful geyser. We wish to determine whether there is a linear relationship between the variables.
X
1.80
1.82
1.90
1.93
1.98
2.05
2.13
2.30
2.37
2.82
3.13
3.27
3.65
Y
56
58
62
57
60
61
73
76
77
a) Perform a hypothesis test using Table I and "alpha" = 0.01
b) Find y' when x = 2.57 and interpret.
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