Question

A sample of size n=95 is drawn from a population whose standard deviation iso = 38. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for u. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for p is Part 2 of 2 (b) If the sample size were n = 62, would the margin of error be larger or smaller? (Choose one) , because the sample size is (Choose one) .

Answer 1

Solution :

(a)

Given that,

Z_$\alpha$/2 = 1.645

Margin of error = E = Z_$\alpha$/2* ($\sigma$ /$\sqrt$n)

= 1.645 * (38 / $\sqrt$ 95)

= 6.413

(b)

smaller ,increases