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 SubdivisionsSubdivisionSquare FootageGreenwood

2,389

2,640

2,673

2,843

2,665

2,451

2,373

2,766

2,680

Pinewood

2,815

2,634

2,822

2,534

2,424

2,511

2,508

2,547

3,912

(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 ₁is the mean of home sizes in Greenwood and ₂is the mean of home sizes in Pinewood.

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

multiple choice 1

• a
• b

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

Reject the null hypothesis if thep-value is

(Click to select)

greater than

less than

.10.

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

t_calc

(d)Assume unequal variances tofind thep-value.(Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)

p-value