Question

One Way ANOVA

The “Award” variable represents whether the student said that they would prefer to win an Academy Award, Nobel Prize, or Olympic Medal. The “SAT” variable is the students’ total SAT score (Verbal + Math). We want to compare the SAT scores for the three Award categories. Remember to include all relevant output that supports your answers. And, remember to clearly identify your final answer from any output used.

A. Use Minitab Express to compute the mean and standard deviation of total SAT scores for students who selected each of the three different awards. Include your output below.

B. Use Minitab Express to construct side-by-side boxplots to compare the total SAT scores for students who selected each of the three different awards. Copy + paste your graph here.

C. Based on the boxplot created in part b, do you think the average SAT score statistically differs by award? Explain.

D. Use Minitab Express to conduct a one-way ANOVA to compare the mean total SAT scores for students who selected each of the three different awards. Use the five-step hypothesis testing procedure.

Step 1: State hypotheses and check assumptions

Step 2: Compute the test statistic

Step 3: Determine the p-value

Step 4: Make a decision (reject or fail to reject the null)

Step 5: State a real world conclusion

E. Use Minitab Express to conduct Tukey simultaneous tests for differences in means. Remember to include your relevant output here. Clearly state which pairs are different and which pairs are not different.

F. Explain why it would not be appropriate to just conduct a series of three independent means t tests in this scenario.

REQUIRED FILE:

https://www.upload.ee/files/8711961/StudentSurvey.MTW.html

Answer 1

A)

Steps:

1. Stat
2. Basic Statistics
3. Display Descriptive statistics
4. Select SAT as variables.
5. CLICK Statistics
6. SELECT mean and standard deviation
7. ok,ok

Output

B)

Steps:

1. Graph
2. Boxplot
3. SELECT simple of Multiple y's
4. ok
5. SELECT SAT as variables
6. Click on Multiple graphs
7. SELECT Award in "By variables with groups on separate graphs"
8. ok
9. ok

output:

C)

No the average SAT score doesnot differ.

D)

Steps:

1. Stat
2. ANOVA
3. one way
4. Response=SAT,factor=Award
5. ok

the out put:

As pvale<0.05 we reject the null hypothesis concluding that no different in means.

E)

Steps:

1. Stat
2. ANOVA
3. one way
4. Response=SAT,factor=Award
5. SELECT comparing procedure as tukey
6. ok,ok

output