Complete only unfilled questions. Nine homes are chosen at random from real esta

Question

Complete only unfilled questions.

Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the square footage of each home is noted in the following table Size of Homes in Two Subdivisions Greenwood Pinewood Square Footage 2,720 2,606 2,518 2,867 2,635 2,555 2,565 2,431 2,535 2,570 2,660 2,514 2,470 2,390 2,630 2,697 2,461 3,160 a Choose the appropriate hypothesis to test if there is a difference between the average sizes o homes in the two neighborhoods at the 10 significance level. Assume 1 is the mean of home sizes in Greenwood and 2 is the mean of home sizes in Pinewood O a O b (b) Specify the decision rule with respect to the p-value. Reject the null hypothesis if the p-value is less than 0.10 (c) Find the test statistic tcalc- (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) calc (d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.) p-value (e) Make a decision. We do not rejectthe null hypothesis. (f) State your conclusion We cannot conclde that there is a difference between the sizes of homes in the two neighborhoods

Explanation / Answer

Two-Sample T-Test and CI: Greenwood, Pinewood

Two-sample T for Greenwood vs Pinewood

SE
N Mean StDev Mean
Greenwood 9 2604 127 42
Pinewood 9 2617 227 76

Difference = mu (Greenwood) - mu (Pinewood)
Estimate for difference: -13.3
95% CI for difference: (-202.6, 175.9)
T-Test of difference = 0 (vs not =): T-Value = -0.15 P-Value = 0.881 DF = 12

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