In 2008, a small dealership leased 21 Subaru Outbacks on 2-year leases. When the
ID: 3060032 • Letter: I
Question
In 2008, a small dealership leased 21 Subaru Outbacks on 2-year leases. When the cars were returned in 2010, the mileage was recorded (see below).
40,000 24,940 14,325 17,328 44,729 44,522 20,254 33,305 24,204 41,765 58,328 35,825 25,715 28,985 25,011 43,363 23,956 43,580 53,685 31,847 36,789
(a) Is the dealer's mean significantly greater than the national average of 30,537 miles for 2-year leases? Using the 10 percent level of significance, choose the appropriate hypothesis.
a. H0: 30,537 miles vs. H1: > 30,537 miles, reject H0 if tcalc > 1.3250
b. H0: 30,537 miles vs. H1: > 30,537 miles, reject H0 if tcalc > 1.3250
c. H0: 30,537 miles vs. H1: < 30,537 miles, reject H0 if tcalc > 1.3250
d. H1: 30,537 miles vs. H0: > 30,537 miles, reject H0 if tcalc > 1.3250
(b) Calculate the test statistic. (Round your answer to 2 decimal places.)
Test statistic:
(c) The dealer's cars show a significantly greater mean number of miles than the national average at the 10 percent level.
No Yes
Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of variable
H0 : = 30537
HA : > 30537
Hypothesis test results:
Hence,
a) Hypotheses: H0: 30,537 miles vs. H1: > 30,537 miles, reject H0 if tcalc > 1.3250
Option A is correct.
b) Test statistic = 1.31
c) No
Variable Sample Mean Std. Err. DF T-Stat P-value Data 33926.476 2584.0908 20 1.3116707 0.1022Related Questions
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