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
|
56
|
57
|
57
|
60
|
57
|
61
|
73
|
76
|
77
|
77
|
a) Perform a hypothesis test using Table I and "alpha" = 0.01
b) Find y' when x = 2.57 and interpret.