Hyp Mean - One Sample (data)
One Sample Hypothesis Test for the Mean
PROBLEM 1
Null Hypothesis
m
=
3.5
Ho:
Mean MBA GPA = 3.50
Level of Significance
0.05
Ha:
Mean MBA GPA not equal to 3.50
Sample Size
200
Two-tailed test
Sample Mean
3.42
With a p-value of .0003 < .05, reject the null hypothesis
Standard Deviation
0.31
Conclude that the mean GPA is not 3.50.
In fact, evidence shows the mean GPA to be less than 3.50
Test Statistic (Computed)
-3.60
Direction of Test
Lower Crit Value
Upper Crit Value
p
-Value
Decision
Two-Tailed Test
-1.9600
1.9600
0.0003
Reject the null hypothesis
H1:
m <> 3.5
Upper-Tail Test
n/a
1.6449
0.9998
Do not reject the null hypothesis
H1:
m > 3.5
Lower-Tail Test
-1.6449
n/a
0.0002
Reject the null hypothesis
H1:
m < 3.5
©2007 DrJimMirabella.com
If you REJECT the null hypothesis, conclude that H1 is true.
If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude that H1 is true.
NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the null).

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