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
Subdivision	Square Footage
Greenwood	2,683	2,543	2,388	2,440	2,604	2,687	2,710	2,693	2,613
Pinewood	2,745	2,608	2,387	2,429	2,897	2,345	2,452	2,450	3,875

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?Click here for the Excel Data File

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(a)?Choose the appropriate hypothesis to test if there is a difference between the average sizes of 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.

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1. H₀: ?₁ ? ?₂ = 0 vs. H₁: ?₁? ?₂ ? 0
2. H₀: ?₁ ? ?₂ ? 0 vs. H₁: ?₁? ?₂ = 0

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multiple choice 1

• a

• b

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(b)?Specify the decision rule with respect to the p-value.

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Reject the null hypothesis if the p-value is ??(Click to select)? ?greater than? ?less than? .10.

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(c)?Find the test statistic t_calc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

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t_calc? ? ? ? ? ?

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(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.)

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p-value ? ? ? ? ? ?

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(e)?Make a decision.

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We ??(Click to select)? ?reject? ?do not reject? the null hypothesis.

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(f)?State your conclusion.

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We ??(Click to select)? ?can? ?cannot? conclude that there is a difference between the sizes of homes in the two neighborhoods.

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