Name: Uswatun Hasanah

NIM: 21.01.4124
Prody : TBI 4

1. A study was carried out among a randomly selected sample of employees to determine their
level of job satisfaction. They were requested to respond to a 10-item statements on a 5-point
Likert scale. Cumulative scores computed as the job satisfaction scores follow:
25 30 42 27 17 28 34 26
35 40 36 31 43 44 29 21
30 35 41 35 37 33 27
based on the above data, solve:
a. What is the scale of measurement for the cumulative satisfaction score? Nominal
b. Calculate the measures of central tendency and measure of dispersion.

Statistics
cumulative_score

N Valid 23

Missing 0
Mean 32.4348
Median 33.0000
Mode 35.00
Std. Deviation 7.05064
Variance 49.711

cumulative_score
Cumulative
Frequency Percent Valid Percent Percent

Valid 17.00 1 4.3 4.3 4.3

21.00 1 4.3 4.3 8.7

25.00 1 4.3 4.3 13.0

26.00 1 4.3 4.3 17.4

27.00 2 8.7 8.7 26.1

28.00 1 4.3 4.3 30.4

29.00 1 4.3 4.3 34.8

30.00 2 8.7 8.7 43.5

31.00 1 4.3 4.3 47.8

33.00 1 4.3 4.3 52.2

 34.00 1 4.3 4.3 56.5

35.00 3 13.0 13.0 69.6

36.00 1 4.3 4.3 73.9

37.00 1 4.3 4.3 78.3

40.00 1 4.3 4.3 82.6

41.00 1 4.3 4.3 87.0

42.00 1 4.3 4.3 91.3

43.00 1 4.3 4.3 95.7

44.00 1 4.3 4.3 100.0

Total 23 100.0 100.0

2. A. What is the scale of measurement for program of study? Nominal

B. Calculate the percentage applications for each program of study.
 3. The respondents of the test are 79 students. Please analyze the data below to find out the
result.
A. The descriptive analysis, i.e. Measure of Center Tendence and Measure of Dispersion

Descriptive Statistics

N Minimum Maximum Mean Std. Deviation

grammar.k 79 55.00 88.00 70.1772 7.91584

narative.t 79 65.00 90.00 76.8354 7.31775
Valid N (listwise) 79

Descriptives
Statistic Std. Error

grammar.k Mean 70.1772 .89060

95% Confidence Interval for Lower Bound 68.4042

Mean Upper Bound 71.9503

5% Trimmed Mean 70.1547

Median 70.0000

Variance 62.660

Std. Deviation 7.91584

Minimum 55.00

Maximum 88.00

Range 33.00
 Interquartile Range 12.00

Skewness -.047 .271

Kurtosis -.672 .535

narative.t Mean 76.8354 .82331

95% Confidence Interval for Lower Bound 75.1964

Mean Upper Bound 78.4745

5% Trimmed Mean 76.7883

Median 75.0000

Variance 53.549

Std. Deviation 7.31775

Minimum 65.00

Maximum 90.00

Range 25.00

Interquartile Range 13.00

Skewness -.019 .271

Kurtosis -1.015 .535

B. Normality test

Tests of Normality

Kolmogorov-Smirnova Shapiro-Wilk

Statistic df Sig. Statistic df Sig.

score grammar .091 79 .170 .971 79 .069

score narative .143 79 .000 .947 79 .003

a. Lilliefors Significance Correction

 C. State The hypotheses

=Alternative Hypothesis(HA)
There is a significant correlation between knowledge of grammar past tense and ability in writing
narrative text.

Correlations

grammar.k narative.t

grammar.k Pearson Correlation 1 .567**

Sig. (2-tailed) .000

N 79 79
**
narative.t Pearson Correlation .567 1

Sig. (2-tailed) .000

N 79 79

**. Correlation is significant at the 0.01 level (2-tailed).

 D. Inferential analysis (whether to use parametric or non-parametric test)

Use parametric test

Correlations

grammar.k narative.t

grammar.k Pearson Correlation 1 .567**

Sig. (2-tailed) .000

N 79 79
narative.t Pearson Correlation .567** 1

Sig. (2-tailed) .000

N 79 79

The Pearson correlation coefficient of 0.567 shows a positive correlation between narrative text
and grammar knowledge. It means that students who score higher in narrative text tend to also
have higher scores in grammar knowledge.

E. State your conclusion from the analysis

Based on the statistical analysis results from 79 test respondents in the narrative text and
grammar knowledge, the following conclusions can be drawn:
1. The average score for narrative text and grammar knowledge among the 79 students is 70.
This indicates a relatively good level of overall proficiency.

2. The lowest score obtained in the test is 55, while the highest score is 88. The wide range of
scores suggests significant variation in students' performance levels.

3. The standard deviation of 7.91584 indicates a relatively high level of variability in the test
results. This implies considerable differences in the students' scores.

4. The Pearson correlation coefficient of 0.567 shows a positive correlation between narrative
text and grammar knowledge. It means that students who score higher in narrative text tend to
also have higher scores in grammar knowledge.

In this conclusion, it is essential to remember that the evaluation of narrative text and grammar
knowledge is subjective and depends on the evaluation criteria used in the test. Additionally,
other factors such as education level, experience, or external factors may influence the obtained
results.

4. The answer for the question

A. The descriptive analysis, i.e. Measure of Center Tendence and Measure of Dispersion

Descriptive Statistics

N Minimum Maximum Mean Std. Deviation

Vocabulary.k 32 60.00 93.00 72.6250 6.95028

Reading.c 32 60.00 87.00 71.0625 5.37580
Valid N (listwise) 32
B. Normality test
 Tests of Normality

Kolmogorov-Smirnova Shapiro-Wilk

Statistic df Sig. Statistic df Sig.

Vocabulary.k .228 32 .000 .895 32 .005

Reading.c .244 32 .000 .839 32 .000

a. Lilliefors Significance Correction

c. State The hypotheses

=Alternative Hypothesis(HA)
There is a significant correlation between vocabulary knowledge and ability in Reading
Comprehension

Correlations

Vocabulary.k Reading.c

Vocabulary.k Pearson Correlation 1 .742**

Sig. (2-tailed) .000

N 32 32
**
Reading.c Pearson Correlation .742 1

Sig. (2-tailed) .000

N 32 32
D. Inferential analysis (whether to use parametric or non-parametric test)

use parametric test

Correlations

Vocabulary.k Reading.c

Vocabulary.k Pearson Correlation 1 .742**

Sig. (2-tailed) .000

N 32 32
**
Reading.c Pearson Correlation .742 1

Sig. (2-tailed) .000

N 32 32

So the Pearson correlation coefficient between the scores of vocabulary knowledge and
reading comprehension is 0.742. This value indicates a strong positive correlation
between the two variables. It suggests that as the vocabulary knowledge score increases,
the likelihood of achieving a high reading comprehension score also increases.

E . State your conclusion from the analysis

Based on the statistical analysis results provided, the following conclusions can be
drawn:

1. The mean score for vocabulary knowledge and reading comprehension is 72. This
indicates that overall, the participants achieved relatively high scores in the test.

2. The minimum score (min) is 60, indicating that the lowest score attained by
participants was 60.

3. The maximum score (max) is 93, indicating that the highest score achieved by
participants was 93.

4. The Pearson correlation coefficient between the scores of vocabulary knowledge and
reading comprehension is 0.742. This value indicates a strong positive correlation
between the two variables. It suggests that as the vocabulary knowledge score increases,
the likelihood of achieving a high reading comprehension score also increases.

These conclusions are based on the mean, minimum, and maximum values, as well as the
Pearson correlation coefficient obtained from the statistical analysis. It is important to
consider the context and research objectives while also paying attention to proper
statistical interpretation in order to provide a more comprehensive conclusion.