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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

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

Tests a hypothesis for difference between means.

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