SOLUTION: A language proficiency test was given to 55 Liberal Arts and 49 Business Administration freshmen. The Liberal Arts students got a mean score of 78 with a standard deviation of 11.

Question 1192207: A language proficiency test was given to 55 Liberal Arts and 49 Business Administration
freshmen. The Liberal Arts students got a mean score of 78 with a standard deviation of 11. The
Business Administration students got a mean score of 82 with a standard deviation of 12. Is there
a reason to believe that there is significant difference in the performance of the two groups of
students? Use α = 0.05.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a 2 sample t-tesst
assuming randomness and that the sd of the sample is unbiased estimator of the population.
alpha=0.05 p{reject Ho|Ho true}
test stat is a t(0.975, df=102)
critical value is |t|>2.00
calculation is t=(78-82)/sqrt(11^2/55+12^2/49)
=-4/2.27
t=-1.76, p-value = 0.08
fail to reject Ho at the 5% level. Insufficient evidence to say that there is a difference.

RELATED QUESTIONS
1. A Science teacher used two different languages in teaching her two classes. Thirty... (answered by CPhill)

draw a Venn diagram to obtain the answers Colleges and Universities In a survey of... (answered by ewatrrr)

Will Someone Help Me With This Problem? In a survey of four-year colleges and... (answered by stanbon,Edwin McCravy)

What is the probability that a random selected degree is NOT in Mathematics? English... (answered by Fombitz)

The average cost of tuition, room and board at small private liberal arts colleges is... (answered by dptdavis)

A small liberal arts college in the Northeast has 250 freshmen. One hundred of the... (answered by greenestamps)

What is the probability that a randomly selected degree is NOT in mathematics? (Please... (answered by ewatrrr)

The distribution of B.A. degrees conferred by a local college is listed below, by major. (answered by robertb)

n a certain liberal arts college with about 10,000 students, 42% are males. If two... (answered by ikleyn,reviewermath)