Question

Kuya teaches a two-trimester course in Passionate Analysis Involving Numbers (PAIN). He would like to know...

Kuya teaches a two-trimester course in Passionate Analysis Involving Numbers (PAIN). He would like to know if these students improved their scores in their second trimester of the course. Is there a significant difference in PAIN scores? Apparently a couple students were too 'pained' and dropped out after the first trimester (too bad so sad).

STUDENT TRIMESTER 1 TRIMESTER 2
1 69 78
2 76 79
3 70 81
4 71
5 75 57
6 61 55
7 67 59
8 62
9 82 64
10 78 77
11 67 55
12 63 60
13 60 65
14 56
15 75 75
16 63 79
17 52 57
18 61 83
19 69 78
20 66 70
21 57 77
22 70 74
23 60 67
24 65 76
25 57 73
26 52 61
27 63 78
28 66 81
29 66 70
30 82 67
31 53 71
32 63 73

1. The appropriate test for this problem is:

t test for one sample

t test for dependent samples

t test for independent samples

one-way ANOVA

repeated measurements ANOVA

2. The obtained statistic value is:

0.44

– 0.44

- 2.21

2.21

3. The associated p value is:

.663

.331

.035

.018

4. Decision is:

reject the null

retain the null

5. Conclusion is:

second trimester’s scores are significantly higher than first trimester’s scores

first trimester’s scores are significantly higher than second trimester’s scores

no conclusion can be drawn

Homework Answers

Answer #1

1)

option B)

t test for dependent samples

removing the rows in which data points were missing

using excel

t-Test: Paired Two Sample for Means
TRIMESTER 1 TRIMESTER 2
Mean 65.79310345 70.34482759
Variance 66.09852217 75.87684729
Observations 29 29
Pearson Correlation 0.135692256
Hypothesized Mean Difference 0
df 28
t Stat -2.212347221
P(T<=t) one-tail 0.017634836
t Critical one-tail 1.701130934
P(T<=t) two-tail 0.035269672
t Critical two-tail 2.048407142

2)

TS = -2.21

option C)

3)

this is one-tailed test

p-value = 0.018

option D)

4)

we reject the null as p-value < 0.05 (alpha)

5)

A) second trimester’s scores are significantly higher than first trimester’s scores

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