Question

In: Statistics and Probability

You are experiencing pressure from administrators to cut the Peer Mentor Program in order to save...

You are experiencing pressure from administrators to cut the Peer Mentor Program in order to save money. Their argument is that the Academic Success Program alone is enough to help students succeed. After meeting with students and their peer mentors, you feel confident that the Peer Mentor Program provides something that the Academic Success Program does not: a greater feeling of being connected to the campus community. To support your argument, you have the students complete the Connected On Campus Scale at the end of Year 1. You need to compare Groups 1 and 2 on their Connected On Campus Scale (COC) scores at the end of Year 1, to determine whether your argument is true. Select the appropriate test to perform and conduct a two-tailed testusing an alpha of .05. Use r2 for your effect size.

Group

CSS Week 1

CSS After Year 1

COC

Group

CSS Week 1

CSS After Year 1

COC

1

50

60

5

3

50

70

9

1

45

55

6

3

40

60

8

1

40

50

6

3

40

60

10

1

40

50

7

3

35

55

9

1

35

40

7

3

30

50

6

1

30

40

5

3

35

55

6

1

30

40

7

3

30

50

5

1

35

45

4

3

35

55

4

1

30

40

6

3

30

50

7

1

35

45

6

3

45

65

6

2

50

55

10

4

50

50

10

2

40

50

8

4

30

30

7

2

35

42

9

4

30

30

4

2

45

55

9

4

35

35

9

2

30

38

7

4

35

35

9

2

40

50

8

4

45

45

10

2

40

45

5

4

40

40

5

2

30

40

6

4

40

40

6

2

35

46

9

4

35

35

5

2

30

37

7

4

30

30

7

5a) What is the appropriate test statistic and why? (1 pt)

5b) What are the degrees of freedom? (1 pt) _________________

5c) What is your decision rule? (1 pt)

5d) Calculate and interpret r2. What information does this provide? (2 pts)

5e) Report the results using standard format. (1 pts)

5f) What are the means for each group? (1 pt)

5g) Can the data support your argument to administrators? (1 pt)

Solutions

Expert Solution

From the given table

.

From over two test plainly the normal score of Peer Mentor Program and Academic Success Program are diverse Also frame implies trial of BOC on two program obviously the Peer Mentor Program gives something that the Academic Success Program does not (since mean distinction is least).

What is the appropriate test statistic and why?

a) We use independent sample t test for testing equality of increase in mean scores of two programs because two samples are independent and are continuous,

What are the degrees of freedom?

b) Degrees of freedom are 18 for assuming equal variances and unequal variance test the DF is 15.340 for first test and 11.284 for second test.

What is your decision rule

c) If the P-value is < 0.05(alpha), then we reject null hypothesis.

Calculate and interpret r2. What information does this provide

d) R square= 22.44%

Report the results using standard format

e) The Peer Mentor Program provides something that the Academic Success Program does not (since mean difference is minimum).

What are the means for each group

f)

Can the data support your argument to administrators

g) No


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