Question

Two samples, each with n = 16 scores, produce an estimated standard error of 4 points and a t statistic of t = 2.00. What is the sample mean difference?

Answer 1

Answer:   8

Step-by-step explanation:

The formula to find the t-test statistic for differences between in two population mean:-

$t=\dfrac{x_{1}-x_2}{SE}$

,where $x_{1}-x_2$ = sample mean difference

SE= Sample error

Given : SE= 4 points

t-statistic = 2.00

Substitute theses values in the above formula , we get

$2=\dfrac{x_{1}-x_2}{4}\\\\\Rightarrow\ x_{1}-x_2= 4\times2=8$

Hence, the sample mean difference is $x_{1}-x_2= 8$