Question

Chapter 6, Section 10, Exercise 211a Find the mean and standard error of the distribution of differences in sample means, x Overscript bar EndScripts Subscript 1 Baseline minus x Overscript bar EndScripts Subscript 2. Samples of size 100 from Population 1 with mean 85 and standard deviation 13 and samples of size 75 from Population 2 with mean 75 and standard deviation 16 Enter the exact answer for the mean and round your answer for the standard error to two decimal places. meanequals standard errorequals

Answer 1

Solution:

    We are given that:

Population 1:

Sample Size = n₁ = 100

Sample Mean =

Sample Standard Deviation = s₁ = 13

Population 2:

Sample Size = n₂ = 75

Sample Mean =

Sample Standard Deviation = s₂ = 16

We have to find mean and standard error of the distribution of differences in sample means,

Mean of the distribution of differences in sample means, is:

The standard deviation of the distribution of differences in sample means is:

where

Thus

Thus

Mean = and Standard Error =