Microsoft Office Tutorials and References

In Depth Information

Fig. 5.6
Example of Drawing a “Picture” of the Means of the Two Groups on the Rating Scale

critical t: 1.96 (in Appendix E)

t-test formula: 5.40 (when you use your calculator!)

Result: Since the absolute value of 5.40 is greater than the critical t of 1.96, we

reject the null hypothesis and accept the research hypothesis.

Now, you need to compare the ratings of the men and women to ﬁnd out which

group had the more positive rating of their academic experience using the following

rule:

Rule: To summarize the conclusion of the two-group t-test, just compare the means

of the two groups, and be sure to use the word “signiﬁcantly” in your conclusion

if you rejected the null hypothesis and accepted the research hypothesis.

A good way to prepare to write the conclusion of the two-group t-test when you

are using a rating scale is to place the mean scores of the two groups on a drawing of

the scale so that you can visualize the difference of the mean scores. For example,

for our Biology majors alumni example above, you would draw this “picture” of the

scale in Fig.
5.6
:

This drawing tells you visually that male alumni had a higher positive rating than

female alumni on this item (7.26 vs. 4.37).
And, since you rejected the null

hypothesis and accepted the research hypothesis, you know that you have found a

signiﬁcant difference between the two mean scores.

So, our conclusion needs to contain the following key words:

Male alumni

Female alumni

State University

Biology majors

signiﬁcantly

more satisﬁed
or
less satisﬁed

either
(7.26 vs. 4.37)
or
(4.37 vs. 7.26)

We can use these key words to write the either of two conclusions which are

logically identical
:

Either
Alumni who were male Biology majors were signiﬁcantly more satisﬁed

with their academic experience in the Biology department at State University

than female Biology majors (7.26 vs. 4.37).

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