Hypothesis Testing Example for Independent Samples (
µ
1

µ
2
)
Exercise 9.31 page 427 of
Statistics, 6th Edition
by McClave and Dietrich:
"To compare two methods of teaching reading, randomly selected groups of
elementary school children were assigned to each of the two methods for a
6month period. The criterion for measuring achievement was a reading
comprehension test." The 11 students assigned to method 1 had a mean score
of 64 with a variance of 52. The 14 students assigned to method 2 had a
mean score of 69 with a variance of 71. Do the data provide enough
evidence to indicate a difference in the mean scores on the comprehension
test for the two teaching methods? Use
α
= .05.
H
a
:
There is a difference in the mean scores on the comprehension test
for the two teaching methods. (
µ
Method 1

µ
Method 2
=
/0
)
H
o
:
There is no difference in the mean scores on the comprehension test
for the two teaching methods. (
µ
Method 1

µ
Method 2
=0
)
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 Fall '08
 STAFF
 Statistics, Normal Distribution, Variance, Probability theory, Statistical hypothesis testing

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