Question

Calculate the margin of error for the population mean using sample data: sample standard deviation s = 14, sample size N = 49. Use significance level alpha = 0.05.

Answer 1

Solution:

= 0.05

  /2 = 0.025

Also, d.f = N - 1 = 49 - 1 = 48

    =    =  _0.025,48 = 2.011

( use t table or t calculator to find this value..)

The margin of error is given by

E =  /2,d.f. * ( / n )

= 2.011  * (14 / 49 )

= 4.022

margin of error = 4.022