Question

Find the minimum sample size n needed to estimate

muμ

for the given values of​ c,

sigmaσ​,

and E.

cequals=0.980.98​,

sigmaσequals=5.45.4​,

and

Eequals=22

Assume that a preliminary sample has at least 30 members.

nequals=

​(Round up to the nearest whole​ number.)

Answer 1

Solution :

Given that,

Population standard deviation = = 5.4

Margin of error = E = 2

c = 0.98

= 1 - c = 1 - 0.98 = 0.02

/ 2 = 0.02 / 2 = 0.01

Z_/2 = Z_0.01 = 2.326

sample size = n = (Z_/2* / E) ²

n = (2.326 * 5.4 / 2)²

n = 39.44

n = 40

Sample size = 40