Consider the following results for two independent random sa

Consider the following results for two independent random samples taken from two populations.

a. What is the point estimate of the difference between the two population means?

b. Provide a 90% confidence interval for the difference be4tween the two population means (to 2 decimals).

(   , )

c. Provide a 95% confidence interval for the difference between the two population means (to 2 decimals)

( , )

Sample 1	Sample 2

Solution

a) point estimate of the difference between the two population means

= x1 bar - x2 bar

= +2.00

b) M1-M2=13.6-11.6=2
sd=4.7268; se=0.6387
90% CI of difference:
0.9494 <2< 3.0506

i.e.(0.95, 3.05)

c) M1-M2=13.6-11.6=2
sd=4.7268; se=0.6387
95% CI of difference:
0.7482 <2< 3.2518

(0.75, 3.25)

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