Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 fro

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

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.