Question

The following data are from a simple random sample (The population is infinite): Sample Size: 150 Sample Mean: 15.5 Population Variance: 186 If the Analysis was run as a two tailed test find the Margin of error LaTeX: \pm± using an alpha value =0.02 (Input the absolute value for the margin of error (that is if the answer is LaTeX: \pm± 3.1, input 3.1) , Use 2 decimals in your answer) Use the appropriate table

Answer 1

Solution :

Given that,

= 15.5

2 = 186

= 13.64

n = 150

At 99% confidence level the z is ,

  = 0.02

/ 2 = 0.02 / 2 = 0.01

Z/2 = Z0.01 = 2.33

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

= 2.33 * (13.64 / 150)

= 2.594

Margin of error = E  = 2.59