Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the...

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Nine homes are chosen at random from real estate listings in twosuburban neighborhoods, and the square footage of each home isnoted in the following table.
Size of Homes in Two Subdivisions
Subdivision Square Footage
Greenwood 2,671 2,755 2,500 2,489 2,446 2,376 2,327 2,450 2,834
Pinewood 2,659 2,340 2,813 2,775 2,734 2,420 2,457 2,535 3,449
(a) Choose the appropriate hypothesis to testif there is a difference between the average sizes of homes in thetwo neighborhoods at the .10 significance level. AssumeÎ¼₁ is the mean of home sizes in Greenwood andÎ¼₂ is the mean of home sizes in Pinewood.
(c) Find the test statistict_calc. (A negative value should beindicated by a minus sign. Round your answer to 3 decimalplaces.)
(d) Assume unequal variances to find thep-value. (Use the quick rule to determine degreesof freedom. Round your answer to 4 decimal places.)

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3.7 Ratings (401 Votes)

The provided sample means are shown belowAlso the sample standard deviations ares11743588 s23307111and the sample sizes are n19 and n291 Null andAlternative HypothesesThe following null and alternative hypotheses need to betestedHo 1 2Ha 1 2This corresponds to a twotailed test for which a ttest fortwo population means with two independent samples with unknownpopulation See Answer

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Size of Homes in Two Subdivisions
Subdivision	Square Footage
Greenwood	2,671	2,755	2,500	2,489	2,446	2,376	2,327	2,450	2,834
Pinewood	2,659	2,340	2,813	2,775	2,734	2,420	2,457	2,535	3,449