SOLUTION: Solve for the t - computed and determine the t - tabular of the situation given below. A course in mathematics is taught to 15 students by explicit method. Another group o

Question 1181639: Solve for the t - computed and determine the t - tabular of the situation
given below.
A course in mathematics is taught to 15 students by explicit method. Another
group of 17 students was given the same course by means of another method. At the
end of the semester, the same test was administered to each group. The 15 students
under method A made an average of 85 with a standard deviation of 4, while the 17
students under method B made an average of 81 with a standard deviation of 5. Test
the null hypothesis of no significant difference in the performance of the two groups of
students at 5% level of significance.
H0:
H1:
Level of Significance:
Test:
Critical Region:
Solution:
Decision:
Conclusion:
(Could someone help me with this? I'm lacking of time) Thank you very much.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:muA=muB
Ha: muA NE muB
alpha=0.05 p{reject Ho|Ho true}
test stat is a 2 way t df=30 (will use the simpler formula of n1+n2-2
critical value is |t| > 2.042
calculation is t=(85-81)/sqrt (s1^2/n1+s2^2/n2)
=4/sqrt(16/15)+(25/17)
=4/1.593
=2.51
reject Ho and there is a difference between the two at the 5% level of significance
p-value=0.0177
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