One Mean Est Tech: Problem 16 Previous Problem Problem List Next Problem entific

Question

One Mean Est Tech: Problem 16 Previous Problem Problem List Next Problem entific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papes published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below City Number of papers City Number of papers City 1 City 2 City 3 City 417 City 5 City 6 City 7 City 8 City 11 City 12 12 10 2 ity 1413 21 City 13 ity 15 9 City 16 12 City 17 4 19 19 13 City 18 10 4. City 9 16 City 1926 City 10 10 City 20 Construct a 99 % confidence interval for the average number of papers published in major world cities. Note: You can earn partial credit on this problem. Submit Answers Preview My Answers attemnted this problem 0 times.

Explanation / Answer

Solution:

Given sample : (12, 11, 21, 17, 4, 9, 12, 13, 16, 10, 11, 10, 2, 13, 4, 19, 19, 10, 26, 7)
We calculate sample mean and standard deviation from given data.
Mean x = (x)/n = 246/20 = 12.3
Sample Variance s^2 = (x- x)^2/n-1 = 36.4316
Standard deviation s = 6.0358
99% Confidence interval
= 1-0.99 = 0.01
/2 = 0.01/2 = 0.005
CI = x ± t/2 * (sd/ sqrt(n))
= 12.3 ± t0.005 *(6.0358/sqrt(20))
= 12.3 ± 2.58 *(6.0358/sqrt(20))
= (8.8179, 15.7821)
8.8179 < < 15.7821

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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