Nine homes are chosen at random from real estate listings in two suburban neighb
ID: 2948797 • Letter: N
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.
Subdivision Square Footage
Greenwood 2,433 2,521 2,730 2,552 2,822 2,809 2,559 2,814 2,846
Pinewood 2,863 2,793 2,772 2,707 2,538 2,812 2,736 2,542 3,532
(c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
tcalc = _________
(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 = _________
Explanation / Answer
The statistical software output for this problem is:
Two sample T hypothesis test:
?1 : Mean of Greenwood
?2 : Mean of Pinewood
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 ? 0
(without pooled variances)
Hypothesis test results:
Hence,
c) tcalc = -1.208
d) P - value = 0.2496
Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -134.33333 111.16328 12.3264 -1.2084326 0.2496Related Questions
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