Puestion 1 researcher conducts and independent-measures study xamining the effectiveness of a group exercise program at an ssisted living facility for elderly adults. One group of residents selected to participate in the program, and a second group erves as a control. After 6 weeks, the research records a ombined score measuring balance and strength for each dividual. The data are as follows:

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Question 1
A researcher conducts and independent-measures study
examining the effectiveness of a group exercise program at an
assisted living facility for elderly adults. One group of residents
is selected to participate in the program, and a second group
serves as a control. After 6 weeks, the research records a
combined score measuring balance and strength for each
individual. The data are as follows:
Control
Exercise
n = 10
n = 15
М 3 12
М%3D 15.5
SS = 120.5 SS = 190.0
1. Does the exercise program have a significant effect? Use an
alpha level of .05, two tails. Show all calculations.
a. State the research hypotheses (4 points)
b. Identify the critical value (3 points)
c. Calculate the test statistic (5 points)
d. Evaluate the null hypothesis (4 points)
2. Compute Cohens d to measure the effect size of the
treatment. (4 points)
Question 2
A researcher would like to examine how the chemical
tryptophan, contained in foods such as turkey, can affect mental
alert ness. A sample of n- 9 college students is obtained, and
each student's performance on a familiar video game is
measured before and after eating a traditional Thanksgiving
dinner including roast turkey. The average score dropped by M,
= 14 points after the meal with SS = 1152 for the difference
scores.
1. Is there a significant difference in performance before
eating versus after eating? Use a two-tailed test with a =
.05. Show all calculations.
a. State the research hypotheses (4 points)
b. Identify the critical value (3 points)
c. Calculate the test statistic (4 points)
d. Evaluate the null hypothesis (4 points)
Transcribed Image Text:Question 1 A researcher conducts and independent-measures study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the research records a combined score measuring balance and strength for each individual. The data are as follows: Control Exercise n = 10 n = 15 М 3 12 М%3D 15.5 SS = 120.5 SS = 190.0 1. Does the exercise program have a significant effect? Use an alpha level of .05, two tails. Show all calculations. a. State the research hypotheses (4 points) b. Identify the critical value (3 points) c. Calculate the test statistic (5 points) d. Evaluate the null hypothesis (4 points) 2. Compute Cohens d to measure the effect size of the treatment. (4 points) Question 2 A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alert ness. A sample of n- 9 college students is obtained, and each student's performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by M, = 14 points after the meal with SS = 1152 for the difference scores. 1. Is there a significant difference in performance before eating versus after eating? Use a two-tailed test with a = .05. Show all calculations. a. State the research hypotheses (4 points) b. Identify the critical value (3 points) c. Calculate the test statistic (4 points) d. Evaluate the null hypothesis (4 points)
Question 3
A psychologist would like to examine the effects of different
testing methods on the final performance of college students.
One group has regular quizzes, one group has three large exams,
and the third group only has a final exam. At the end of the
course, the psychologist interviews each student to get a
measure of the student's overall knowledge of the material.
Quizzes Exams Final Only
4
1
4
2
G = 36
3
5
ΣΧ164
=
7
2
T= 20 T= 12
T=4
SS = 10 SS = 10 SS = 4
1. Do the data indicate any significant differences among the
three methods? Test with a = .05. Show all calculations
(i.e., SS, df, MS and F)
a. State the research hypotheses (4 points)
b. Identify the critical value (4 points)
c. Calculate the test statistic (8 points)
d. Evaluate the null hypothesis (4 points)
2. Extra Credit: Which testing methods statistically differed
from one another? (5 pts)
Question 4
XY
2 3
3 1
6 5
4 4
1. Compute the Pearson Correlation for these data. (10 points)
a. Show all calculations (i.e., SS,, SS,, SP)
2. Write a regression equation to predict Y values. (5 points)
Transcribed Image Text:Question 3 A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the third group only has a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. Quizzes Exams Final Only 4 1 4 2 G = 36 3 5 ΣΧ164 = 7 2 T= 20 T= 12 T=4 SS = 10 SS = 10 SS = 4 1. Do the data indicate any significant differences among the three methods? Test with a = .05. Show all calculations (i.e., SS, df, MS and F) a. State the research hypotheses (4 points) b. Identify the critical value (4 points) c. Calculate the test statistic (8 points) d. Evaluate the null hypothesis (4 points) 2. Extra Credit: Which testing methods statistically differed from one another? (5 pts) Question 4 XY 2 3 3 1 6 5 4 4 1. Compute the Pearson Correlation for these data. (10 points) a. Show all calculations (i.e., SS,, SS,, SP) 2. Write a regression equation to predict Y values. (5 points)
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