Question

In: Statistics and Probability

The following sample information is given concerning the ACT scores of high school seniors form two...

The following sample information is given concerning the ACT scores of high school seniors form two local schools.

School A

School B

= 11

= 18

= 25

= 23

= 19

= 10

At 95% confidence what is the marginal of error of the interval estimate for the difference between the two populations? Please keep three decimal points of your answer.


Solutions

Expert Solution

Answer:-

Given That:-

The following sample information is given concerning the ACT scores of high school seniors form two local schools.

Let to find the 95% confidence interval in difference between two means.

schoolA:

schoolB:

Now find the marginal error of the estimate is

Confidence interval is 95%

Critical value of and

Substitute the sp value in above

Marginal of error of interval estimate is 2.879


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