Question

A sample​ mean, sample​ size, population standard​ deviation, and confidence level are provided. Use this information to complete parts​ (a) through​ (c) below.

sigma x= 54 n=16 sigma o=5 confidence level = 99%

confidence interval

margin of error

Answer 1

Solution :

Given that,

Point estimate = sample mean = = 54

Population standard deviation = = 5

Sample size = n = 16

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z_/2 = Z _0.005 = 2.576

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

E = 2.576 * ( 5 / 16)

E = 3.22