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

Explanation:

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

`t=(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=(x_(1)-x_2)/(4)\\\\\Rightarrow\ x_(1)-x_2= 4*2=8`

Hence, the sample mean difference is
`x_(1)-x_2= 8`