Question

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	2,312	2,471	2,490	2,892	2,341	2,412	2,830	2,723	2,350
Pinewood	2,600	2,494	2,558	2,816	2,391	2,574	2,558	2,854	3,466

(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 μ₁ is the mean of home sizes in Greenwood and μ₂ is the mean of home sizes in Pinewood.

a. H₀: μ₁ – μ₂ = 0 vs. H₁: μ₁– μ₂ ≠ 0

b. H₀: μ₁ – μ₂ ≠ 0 vs. H₁: μ₁– μ₂ = 0

• a

• b

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

Reject the null hypothesis if the p-value is  (Click to select)  greater than / less than  0.10 ?

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

t_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  (Click to select)  reject / do not reject  the null hypothesis?

(f) State your conclusion.

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

Answer 1