Find the sample size necessary to estimate the mean IQ score of statistics stude

Question

Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is ±7 IQ points of the true mean. Assume that the standard deviation is 17 and determine the required sample size.

Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is t7 lQ points of the true mean. Assume that the standard deviation is 17 and determine the required sample size. n (Round up to the nearest integer.)

Explanation / Answer

= 17

Z for 90% confidence interval = Z0.95 = 1.645

Margin of error, E = Z0.95 * / sqrt(n)

or, 7 = 1.645 * 17 / sqrt(n)

or, sqrt(n) = 1.645 * 17 / 7

or, sqrt(n) = 3.995

or, n = 15.96

or, n = 16

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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