SOLUTION: The null and alternate hypotheses are:H0: m1 # m2H1: m1 . m2 A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of

Algebra ->  Probability-and-statistics -> SOLUTION: The null and alternate hypotheses are:H0: m1 # m2H1: m1 . m2 A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of      Log On


   



Question 1086285: The null and alternate hypotheses are:H0: m1 # m2H1: m1 . m2 A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8. Use the .05 significant level.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
assuming these are equal for Ho and unequal for Ha
assuming assumptions for a t-test are valid, this is a two way t-test
test statistic is t df=34;0.975= difference in means/SE
where SE is sqrt ((s1^2/n1)+(s2^2/n2))
critical value is|t| > 2.03
t=6/sqrt ((225/20)+64/16))=6/sqrt (15.25)=1.54
fail to reject, p=0.13.