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

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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