Suppose that two independent random samples were selected fromtwo populations that are normally distributed.The following results areobtained.

Sample1

Sample2

n1= 20

n2= 25

mean y1= 55.2

mean y2= 56.9

s1= 5.1

s2= 4.8

1. What is the estimated difference between means?
2. What is the standard error of the estimated difference between means?
3. Construct a 95% confidence interval for the difference between means.
4. At = .05, can you conclude that the true means are the same?Explain.