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Question #1
The STATS R US Consulting Firm wanted to determine if supplementary lessons in hypothesis testing would improve students' performance in beginning statistics. To investigate this research problem, they randomly assigned half the class to Group A and the other half to Group B. Group A received the supplementary lessons in hypothesis testing. Group B did not receive the lessons. At the end of the semester, they administered the final exam. The results were as follows:
Group A (lessons)
n=28 Mean=86 SD=8
Group B (no lessons)
n=32 Mean = 82 SD=9
Research Question: Do supplementary lessons in hypothesis testing improve students' performance on the final exam? Use the .05 level of significance to test the null hypothesis.
a. Ho: (1pt) _______________________________________________________
b. Ha: (1pt) _______________________________________________________
c. Appropriate statistical test: (2pts)
(indicate type, one or two sample, one or two tail, df)
_______________________________________________________
d. Critical value for rejection of the null hypothesis: (2pt)
____________________________________________________________
e. The value of the computed test statistic is 1.82. What is your decision about null hypothesis? (2pt)
____________________________________________________________
f. In meaningful terms, what do you conclude? (2pts)
____________________________________________________________
Question #3
A study was conducted to examine the exercise frequency of university students. A group of 100 volunteers were randomly assigned to one of four treatment conditions as described below. Each group consisted of 25 individuals. At the end each week, each participant completed an exercise completion form.
Group 1 – Walk in the Coliseum three times a week.
Group 2 – Walk in the Coliseum three times a week with a friend.
Group 3 – Walk in the Coliseum three times a week using an iPod loaded with your favorite music.
Group 4 - Walk in the Coliseum three times a week and get to go to your favorite restaurant afterwards.
3a. What is the independent variable? (1pt) ____________________________ 3b. What is the dependent variable? (1pt)____________________________
3c. Ho: (1pt) _______________________________________________________ 3d. Ha: (1pt) _______________________________________________________
3e. Complete the following ANOVA table to summarize the findings from this analysis.
Source of variance
Sum of Squares
df
Mean Square
F test
Significant?
Between Within
Total
98.00 ?
? 32.66 ? p < .001 96 2.00
3,421.00 99
3e. Based on the above findings, what would you conclude regarding the null hypothesis for this study?
3f. Based on the above findings, are any additional tests or statistics needed to reach a final conclusion about the research question?
Question #4
A researcher is interested in whether students who engage in bullying behavior (harassment, physical aggression, social aggression) are more likely to experience bullying behavior against them. The researcher used survey data to classify students as low/medium/high in bullying perpetration. She then looked at the number of bullying victim experiences the student reported. Examine the selected output from SPSS to determine whether there was a difference in the bullying experienced by these three groups. Use the .05 level of significance.
a. Name the independent and dependent variables:
b. Ho: _______________________________________________________ Ha: _______________________________________________________
c. Appropriate statistical test: (indicate type of statistical test, df)
_____________________________________________________________
d. Write up your findings in APA style (include F test, degrees of freedom, significance).
e. Which specific groups differ from each other?
Oneway
TOTAL SCORE bullying experienced (VICTIM)
ANOVA
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
32299.842
2
16149.921
565.479
.000
Within Groups
349028.116
12221
28.560
Total
381327.958
12223
Post Hoc Tests
Multiple Comparisons
Dependent Variable: TOTAL SCORE bullying experienced (VICTIM) Tukey HSD
(I) TOTAL SCORE bullying behaviors (PERPETRATO R) (Binned)
(J) TOTAL SCORE bullying behaviors (PERPETRATOR) (Binned)
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Low
Medium
-1.15439*
.12500
.000
-1.4474
-.8614
High
-3.82009*
.11374
.000
-4.0867
-3.5535
Medium
Low
1.15439*
.12500
.000
.8614
1.4474
High
-2.66570*
.13914
.000
-2.9918
-2.3396
High
Low
3.82009*
.11374
.000
3.5535
4.0867
Medium
2.66570*
.13914
.000
2.3396
2.9918
*. The mean difference is significant at the 0.05 level.
Question #5
In the following research scenarios, answer the questions that follow.
a. A researcher is interested in whether a free breakfast program affects students’ reading achievement in kindergarten compared to a control group.
i. What is the independent variable? What levels does it include?
ii. What is the dependent variable?
iii. What is the appropriate statistical test?
b. A marketing researcher is interested in whether the time of day that a show airs (morning, afternoon, night, late night) affects the number of young males (age 17-29) watching TV.
a. What is the independent variable? What levels does it include?
b. What is the dependent variable?
c. What is the appropriate statistical test?
c. A school superintendent is concerned that high school students are spending too much time watching TV and that this is affecting the academic performance of students at the high school. She gathers data on the GPA of students who watch TV for zero hours, 1-3 hours, or more than 3 hours per night.
a. What is the independent variable? What levels does it include?
b. What is the dependent variable?
c. What is the appropriate statistical test?
d. A teacher is interested in whether his students benefit from a new reading educational program. He measures the students reading fluency at the start of the school year and then again at the end of the school year.
a. What is the independent variable? What levels does it include?
b. What is the dependent variable?
c. What is the appropriate statistical test?

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1. a.Ho: There is NO improvement in students' performance on the final exam due to supplementary lessons in hypothesis testing.

b. Ha:There is an improvement in students' performance on the final exam due to supplementary lessons in hypothesis testing.

c.two sample, one tail ,df = 58

d. 1.6715

e. Null hypothesis should be rejected

f. supplementary lessons in hypothesis testing improve students' performance on the final

3a. Group 1, Group 2 , Group 3 and Group 4

3b. the exercise frequency of university students

3c. Ho: Average values of exercise frequencies of Group 1 , Group 2 , Group 3 and Group 4 are same

3d. Ha: Average values of exercise frequencies of Group 1 , Group 2 , Group 3 and Group 4 are different...