Step 2 of 3: Find the standard error of the sampling distribution to be used in

Question

Step 2 of 3: Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to the nearest whole number.

Step 3 of 3: Construct the 80%80% confidence interval. Round your answers to the nearest whole number. Lower point is _______________ and Upper point is ____________

The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample of 8 male applicants results in a SAT scoring mean of 1134 with a standard deviation of 26. A random sample of 17 female applicants results in a SAT scoring mean of 1 173 with a standard deviation of 40 Using this data, find the 80 % confidence interval for the true mean difference between the scoring mean for male applicants and female applicants. Assume that the population variances are not equal and that the two populations are normally distributed Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Explanation / Answer

SAMPLE 1 SAMPLE 2 n 8 17 mean 1134 1173 sd 26 40 sd^2/n 84.5 94.11765 df= =(84.5+94.12)^2/(84.5^1/7+94.12^2/16) 56.39611312 56 SE = Sqrt(S1^2/n1 + s2^2/n2) =SQRT(84.5+94.12) 13.365 13 df= =(84.5+94.12)^2/(84.5^1/7+94.12^2/16) 56.39611312 56 T(a/2,df) 1.297 lower =(1134-1173)-1.297*SQRT(84.5+94.1176) -56 upper =(1134-1173)+1.297*SQRT(84.5+94.1176) -22

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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