Question

Find the margin of error for the given values of​ c,

sigmaσ​,

and n.

cequals=0.950.95​,

sigmaσequals=2.82.8​,

nequals=64

Answer 1

Solution :

Given that,

Population standard deviation =    = 2.8

Sample size n =64

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96   ( Using z table )

Margin of error = E = Z/2 * ( /n)

= 1.96 * ( 2.8 /   64)

E= 0.6860