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Chapter 27
1. A mathematics teacher teaches two sections of the same course, each with 40 students.
On the first exam, one section averaged a 75% with an SD of 7%, while the other section
averaged a 68% with an SD of 5%.
Compare the means and determine the
z
score for the
difference between the two sections.
Is the difference significant?
2. One high school does a study to see if there is a link between playing music and better
grades in high school.
The administrators compare the GPA’s (for that year) of students
who were enrolled in a music course (such as band, choir, etc.) with those of students not
enrolled in any such class.
The results are as follows:
Total
Average GPA
SD for GPA
Music Students
213
3.52
0.18
Nonmusic Students
684
3.24
0.22
Compare the means and determine the
z
score for the difference.
Do music students
really have higher GPA’s?
3. (Hypothetical) In order to determine whether CocaCola or Pepsi tastes better, a
student collects 100 volunteers, dividing them randomly into equal groups, one to be
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 Spring '08
 Patton
 Math, Statistics

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