Question

A graphing calculator is recommended.

A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. (Let 1 = Working-class, 2 = Professional (middle incomes), and 3 = Professional (wealthy).)

Working-class	Professional (middle incomes)	Professional (wealthy)
17.7	15.7	8.4
26.4	16.8	6.1
49.1	21.2	4.2
8.7	7.1	12.0
64.6	8.7	10.6
46.3	2.0	28.1
19.3	6.0	14.9
50.7	13.1	9.0

A) Enter an exact number as an integer, fraction, or decimal.
df(num) =

df(denom) =

B) State the distribution to use for the test.

C) What is the test statistic? (Round your answer to two decimal places.)

D) What is the p-value? (Round your answer to four decimal places.)

E) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

Answer 1

Output using excel:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Working-class	8	282.8	35.35	394.2286
Professional (middle)	8	90.6	11.325	41.405
Professional (wealthy)	8	93.3	11.6625	55.18268
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	3035.766	2	1517.883	9.277706	0.001296	3.4668
Within Groups	3435.714	21	163.6054
Total	6471.48	23

A)
df(num) = 2

df(denom) = 21

B) Distribution to use for the test: one way Anova

C) Test statistic:  

F =   9.28

D) p-value:  

p-value = F.DIST.RT(9.2777, 2, 21) = 0.0013

E) Alpha, α = 0.05