Question 1070392
mu1=51
mu2=46
s1^2=16
s2^2=20
n1=n2=10
Do a 2-sample t
hypothesize means =
alpha=0.05
test stat t d=18 0.975
critical value  |t|>2.101
t df (18)=(mu1-mu2)/sqrt ((s1^2/n1)+(s2^2/n2))
=5/sqrt [(16/10)+(20/10)]
=5/sqrt (3.6)
=2.635
This is greater than the critical value of 2.101.
Reject Ho and there is significant difference that the two means are different.