# Test of hypothesis for difference between means

Given the sample data below calculate the following:

a. Sample Mean - Set One: ______

b. Sample Mean - Set Two:_____

c. Sample Std. Dev. - Set One: _____

d. Sample Std. Dev. - Set Two: _____

e. Sample Size - Set One: _____

f. Sample Size - Set Two: _

g. Hypothesis Test at LOS 0.01 if Set One has a higher population average than Set Two. (Be sure to show all 6 steps).

SET ONE: SET TWO:

4 5

5 7

6 12

7 4

https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-differences-between-means-164361

#### Solution Preview

Given the sample data below calculate the following:

a. Sample Mean - Set One: ______ 5.5

b. Sample Mean - Set Two:_____ 7

c. Sample Std. Dev. - Set One: _____ 1.29

d. Sample Std. Dev. - Set Two: _____ 3.56

e. Sample Size - Set One: _____ 4

f. Sample Size - Set Two: _ 4

g. Hypothesis Test at LOS 0.01 if Set One has a higher population average than Set Two. (Be sure to show all 6 steps).

SET ONE: SET TWO:

4 5

5 7

6 12

7 4

Mean and Standard deviation

Set one

X= X 2 =

4 16

5 25

6 36

7 49

Total= 22 126

n=no of observations= 4

Mean= 5.5 =22/4

variance={summation of X 2 - n(Mean) 2 }/(n-1)= 1.6667 =(126-4*5.5^2)/(4-1)

standard deviation =square root of Variance= 1.29 =square root of 1.6667 ...

#### Solution Summary

The following posting helps with various problems that involve hypothesis testing.