Problem A statistics professor wished to determine whether students devote equal amounts of preparation time to in-class and take-home final examinations (each student can have only one final exam). A study?was conducted, using 14 member random samples. When preparing for an in-class final examination, the participants devoted an average of 17.2 hours with a standard deviation of 4.3 hours. For the take-home final examination, the mean was 21.8 hours with a standard deviation of 3.6 hours. Question Is the hypothesis one-tailed or two-tailed (what type of hypothesis)? A. one-tailed hypothesis B. two-tailed hypothesis C. null hypothesis D. directional hypothesis E. Both B and C are correct In order to test for differences in the effects of five diet programs, the researcher recruited 60 people who wished to reduce their weight. They were randomly assigned to five groups. Each group met on a regular basis and each group was taught different techniques for weight loss. The dependent variable was the weight loss for the individual participant. The question was Is there a significant difference in the effects due to the different techniques?? A. t test for dependent samples B. one-sample t test C. t test for independent samples D. one-way ANOVA E. Pearson?s correlation coefficient F. coefficient of determination (COD) Problem A university professor proposes to implement an experimental course that she believes may help statistics comprehension in graduate students. To evaluate the ?effectiveness? of the course (the professor is not sure whether the course will help or hurt student comprehension), the professor administers a pretest to the experimental group prior to the course. After the course is finished, the professor administers the same exam again (i.e., a posttest). Scores on the tests are graded and reported as follows: Problem 1 Data Set Pretest Scores Posttest Scores 100 99 65 87 74 80 97 99 95 88 75 75 91 104 107 81 66 77 101 87 94 75 88 70 Question What is the most appropriate statistic to use to solve this problem? A. t test for dependent samples B. one-sample t test C. t test for independent samples D. one-way ANOVA E. Pearson?s correlation coefficient F. correlation of determination (COD) A statistics professor wishes to determine whether students devote equal amounts of preparation time to in-class and take-home final examinations (each student can have only one final exam). A study is conducted, using 14 member random samples. When preparing for an in-class final examination, the participants devoted an average of 17.2 hours, with a standard deviation of 4.3 hours. For the take-home final examination, the mean was 21.8 hours, with a standard deviation of 3.6 hours. Question What is the most appropriate statistic to answer the question? A. t test for dependent samples B. one-sample t test C. t test for independent samples D. one-way ANOVA E. Pearson?s correlation coefficient F. coefficient of determ ...

1. Problem
A statistics professor wished to determine whether students
devote equal amounts of preparation time to in-class and take-
home final examinations (each student can have only one final
exam). A study?was conducted, using 14 member random
samples. When preparing for an in-class final examination, the
participants devoted an average of 17.2 hours with a standard
deviation of 4.3 hours. For the take-home final examination, the
mean was 21.8 hours with a standard deviation of 3.6 hours.
Question
Is the hypothesis one-tailed or two-tailed (what type of
hypothesis)?
A.
one-tailed hypothesis
B.
two-tailed hypothesis
C.
null hypothesis
D.
directional hypothesis
E.
Both B and C are correct
In order to test for differences in the effects of five diet
programs, the researcher recruited 60 people who wished to
reduce their weight. They were randomly assigned to five
groups. Each group met on a regular basis and each group was

2. taught different techniques for weight loss. The dependent
variable was the weight loss for the individual participant. The
question was Is there a significant difference in the effects due
to the different techniques??
A.
t test for dependent samples
B.
one-sample t test
C.
t test for independent samples
D.
one-way ANOVA
E.
Pearson?s correlation coefficient
F.
coefficient of determination (COD)
Problem
A university professor proposes to implement an experimental
course that she believes may help statistics comprehension in
graduate students. To evaluate the ?effectiveness? of the course
(the professor is not sure whether the course will help or hurt
student comprehension), the professor administers a pretest to
the experimental group prior to the course. After the course is
finished, the professor administers the same exam again (i.e., a
posttest). Scores on the tests are graded and reported as follows:
Problem 1 Data Set
Pretest Scores
Posttest Scores
100
99

3. 65
87
74
80
97
99
95
88
75
75
91
104
107
81
66
77
101
87
94
75
88
70
Question
What is the most appropriate statistic to use to solve this
problem?
A.
t test for dependent samples
B.
one-sample t test
C.
t test for independent samples
D.

4. one-way ANOVA
E.
Pearson?s correlation coefficient
F.
correlation of determination (COD)
A statistics professor wishes to determine whether students
devote equal amounts of preparation time to in-class and take-
home final examinations (each student can have only one final
exam). A study is conducted, using 14 member random samples.
When preparing for an in-class final examination, the
participants devoted an average of 17.2 hours, with a standard
deviation of 4.3 hours. For the take-home final examination, the
mean was 21.8 hours, with a standard deviation of 3.6 hours.
Question
What is the most appropriate statistic to answer the question?
A.
t test for dependent samples
B.
one-sample t test
C.
t test for independent samples

5. D.
one-way ANOVA
E.
Pearson?s correlation coefficient
F.
coefficient of determination (COD)
Problem
A university professor proposes to implement an experimental
course he developed that increases statistics comprehension in
graduate students. To evaluate the ?effectiveness? of the course,
the professor administers a pretest to the experimental group
prior to the course. After the course is finished, the professor
administers the same exam again (i.e. a posttest). Scores on the
tests are graded and reported as follows:
Problem 1 Data Set
Pretest Scores
Posttest Scores
100
99
65
87
74
80
97
99
95
88
75
75
91
104
107
81

6. 66
77
101
87
94
75
88
70
Question
Is there a significant statistical difference (p < .05) between the
two groups?
A.
Yes. A significant statistical difference (p < .05) exists between
the two groups.
B.
No. A significant statistical difference (p > .05) does not exist
between the two groups.
C.
Yes. A significant statistical difference (p < .05) does not exist
between the two groups.
D.
No. A significant statistical difference (p > .05) does exist
between the two groups.
10 points
Problem
A university professor proposes to implement an experimental
course he developed that increases statistics comprehension in
graduate students. To evaluate the ?effectiveness? of the course,
the professor administers a pretest to the experimental group
prior to the course. After the course is finished, the professor
administers the same exam again (i.e., a posttest). Scores on the

7. tests are graded and reported as follows:
Problem 1 Data Set
Pretest Scores
Posttest Scores
100
99
65
87
74
80
97
99
95
88
75
75
91
104
107
81
66
77
101
87
94
75
88
70
Question
Interpret and apply the results of the statistical findings t(11) =
0.61, p = 0.2760. Pay particular attention to the mean score of
each group. Select the choice that provides the correct
interpretation.
a.
Since one-person is providing two scores (Pre-Test & Post-Test)

8. and there are only two groups, it is impossible to statistically
analyze the results of these data. Accordingly, t(11) = 0.61, p =
0.2760, although indicating no statistical significant difference
(p > .05) between Pre-Test and Post-Test scores was found, this
result is meaningless ? inappropriately applied. In fact, only the
mean score of the Pre-Test group of 87.75 (SD = 13.62) and the
mean score of the Post-Test group of 85.17 (SD = 10.41),
meaning the ?effectiveness? scores decreased, is the only way
to statistically answer the question above.
b.
Since one-person is providing two scores (Pretest & Posttest), t
test for independent samples is the most appropriate statistic to
use. Accordingly, t(11) = 0.61, p = 0.2760, indicates a
statistical significant difference (p < .05) between Pretest and
Posttest scores was found. In fact, the mean score of the Pretest
group was 87.75 (SD =?13.62) and the mean score of the
Posttest group was 85.17 (SD?=?10.41) meaning the
?effectiveness? of course was not good, meaning the course
caused scores to decrease.
c.
Cannot answer the question based on the information in the
problem statement and given data set.
d.
Since one-person is providing two scores (Pretest & Posttest),
the t test for dependent samples is the most appropriate statistic
to use. Accordingly, t(11) = 0.61, p = 0.2760, indicates no
statistical significant difference (p > .05) between Pretest and
Posttest scores was found. In fact, the mean score of the Pretest
group was 87.75 (SD =?13.62) and the mean score of the
Posttest group was 85.17 (SD =?10.41) meaning the
?effectiveness? of course was not good, meaning the course
caused scores to decrease.

9. e.
Since one-person is providing two scores (Pretest & Posttest), a
one sample t test is the most appropriate statistic to use.
Accordingly, t(11) = 0.61, p = 0.2760, indicates a statistical
significant difference (p < .05) between Pretest and Posttest
scores was found. In fact, the mean score of the Pretest group
was 87.75 (SD =?13.62) and the mean score of the Posttest
group was 85.17 (SD =10.41) meaning the ?effectiveness? of
course was not good, meaning the course caused scores to
decrease.
20 points
Problem
A university professor proposes to implement an experimental
course he developed that increases statistics comprehension in
graduate students. To evaluate the ?effectiveness? of the course,
the professor administers a pretest to the experimental group
prior to the course. After the course is finished, the professor
administers the same exam again (i.e. a posttest). Scores on the
tests are graded and reported as follows:
Problem 1 Data Set
Pretest Scores
Posttest Scores
100
99
65
87
74
80
97
99
95
88
75
75

10. 91
104
107
81
66
77
101
87
94
75
88
70
Question
Use the Excel statistics spreadsheet and calculate the value of
the t statistic. Provide your answer to two significant digits
(e.g., 0.04).
A.
0.05
B.
0.06
C.
0.51
D.
0.61
Problem
Sam Sawyer measured the 15 members of his track team on
their speed running of the 100 meter dash. He also measured the
heights of each team member. Sam wished to measure the
relationship between height and speed on the 100 meter run.

11. Question
What is the most appropriate statistic to answer the question?
A.
t test for dependent samples
B.
one-sample t test
C.
t test for independent samples??
D.
one-way ANOVA?
E.
Pearson?s correlation coefficient
F.
coefficient of determination (COD)
Problem
A statistics professor wishes to determine whether students
devote equal amounts of preparation time to in-class and take-
home final examinations (each student can have only one final
exam). A study is conducted, using 14 member random samples.
When preparing for an in-class final examination, the
participants devoted an average of 17.2 hours, with a standard
deviation of 4.3 hours. For the take-home final examination, the
mean was 21.8 hours, with a standard deviation of 3.6 hours.
Question

12. Is the hypothesis one-tailed or two-tailed (null or directional
hypothesis)?
A.
One-Tailed
B.
Two-Tailed
C.
Null Hypothesis
D.
Directional Hypothesis
E.
Both A and?D are correct
F.
None of the above