Question

A recent study claims that there is no difference in the number of job offers received by new graduates from three different colleges. The available data on job offers at these three different colleges are shown below:

College A	College B	College C
6	2	10
8	1	12
7	0	9
5	3	13
6	6	4

a) Is the test statistic equal to 8.54, 12.0, or 18.0?

b) Is the hypothesis test used to compare the numbers of job offers received by new graduates from three different colleges: left tailed, right-tailed, or two-tailed?

c) Is the probability value for the event in which the test statistic is equal to the value calculated in part a: 0.014, 0.020, or 0.060?

d) Comparing the probability value (calculated in part c) with a level of significance of 0.05, what can be stated?

   A. There is enough evidence to reject the study's claim

   B. There is not enough evidence to reject the study's claim

   C. There is enough evidence to support the study's claim

Answer 1

SUMMARY
Groups	Count	Sum	Average	Variance
College A	5	32	6.4	1.3
College B	5	12	2.4	5.3
College C	5	48	9.6	12.3
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	130.1333	2	65.06667	10.32804	0.002462	3.885294
Within Groups	75.6	12	6.3
Total	205.7333	14

1) Here Test statistic=10.3280

2) This depends on the alternative hypothesis so this is two-tailed

3) P value=0.002

4) Here p-value is less than 0.05 so we reject the hypothesis

so there is statistical difference between these three colleges to provide job

A) There is enough evidence to reject the study claim.

.