A researcher conducting a study of the cost of a 4-year college degree in the No

Question

A researcher conducting a study of the cost of a 4-year college degree in the Northeast reported that the standard error of the mean was $1095. The population standard deviation is $16425. What is the sample size in this study?
a 250 b 225 c 200 d 175
The margin of sampling error for an interval which captures 95% of all sample means in the previous question is:
a 1402 b 1796 c 2146 d 2551 A researcher conducting a study of the cost of a 4-year college degree in the Northeast reported that the standard error of the mean was $1095. The population standard deviation is $16425. What is the sample size in this study?
a 250 b 225 c 200 d 175
The margin of sampling error for an interval which captures 95% of all sample means in the previous question is:
a 1402 b 1796 c 2146 d 2551

Explanation / Answer

Given standord error (S.E.) of mean = $1095

population standord deviation (S.D.) = $16425

S.E.= S.D./sqrt(n) = 1095

= sqrt(n) = 16425/1095

= sqrt(n) = 15

= n = 15^2 =225 ...option b is correct.

margin of Error(M.E.) = critical value * Standord Error.

M.E.= 1.64 * 1095 (critical value is calculated from standord normal table at alpha=0.05 which is =1.64)

= 1795.8

=1796 approx (option b is correct)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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