Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 fro
ID: 3151283 • Letter: S
Question
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means µ1 and µ2, and suppose we obtain formula139.mml = 240, formula140.mml = 210, s1 = 5, s2 = 6.
Assuming equal variances calculate a 95 percent confidence interval for µ1 µ2. Can we be 95 percent confident that µ1 µ2 is greater than 20? (Round your answers to 3 decimal places.) The confidence interval = [ , ]. , the entire interval is 20.
Why we can use the equal variances procedure here? (s1 and s2 very close and n1 =/= n2 OR s1 and s2 very close and n1=n2)
Explanation / Answer
18 +/- 1.96 * srqt ( 5^2+6^2 / 7 )
18 +/- 5.786
12.214 < miu1-miu2 < 23.786
we can say that is greater than 20 because we have values greater than 20 in the interval
Why we can use the equal variances procedure here? (
because n1 and n2 are equal