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.

Algebra ->  Probability-and-statistics -> 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.      Log On


   

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) About Me  (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.