Question

Question 15 if c = .95, Z sub c = 1.96, Sigma = S = 5.0, and E = 1, what would be the best choice for the sample size? Not yet answered Marked out of 3.00 P Flag question Select one: o a. 96.00 b. 96 O c. 96.04 O d. 97 e. 100 Question 16 Find the margin of error for mu, if X-bar = 52.8, n = 16, S = 23.4 and C = 90. Not yet answered M ed out of 3.00 PFmy question Select one: O a. 10.555 b. 10.225 O G. 10255 d. 10.222 e. 10.525

Answer 1

15)

Solution :

Given that,

Population standard deviation = s = 5

Margin of error = E = 1

Z_$\alpha$/2 = 1.96

sample size = n = [Z_$\alpha$/2* s / E] ²

n = [1.96 * 5 / 1]²

n = 96.04

Sample size = n = 97

16)

t_{$\alpha$ /2,df} = 1.753

Margin of error = E = t_{$\alpha$/2,df} * (s /$\sqrt$n)

= 1.753 * (23.4 / $\sqrt$ 16)

Margin of error = E = 10.255