The following results are for independent random samples taken from two populations.
|Sample 1||Sample 2|
n1 = 20
n2 = 30
x1 = 22.8
x2 = 20.1
s1 = 2.6
s2 = 4.6
What is the point estimate of the difference between the two population means? (Use
x1 − x2.
What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
At 95% confidence, what is the margin of error? (Round your answer to one decimal place.)
What is the 95% confidence interval for the difference between the two population means? (Use
x1 − x2.
Round your answers to one decimal place.)
(A) The point estimate of is 22.8-20.1=2.7
(B) For unequal variace DF :
Standard error of difference is
criticat value of t
(D) 95% Confidence Interval for the
Difference ( 0.644 , 4.756 )
Confidence Interval of is = 2.7 ± (2.01 * 1.0214) = 2.7 ± 2.0522
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