NBHS3112 Statistics Assessment Essay 2026 | Open University Malaysia
| University | Open University Malaysia (OUM) |
| Subject | NBHS3112 Statistics |
NBHS3112 Assessment Essay
| Course /
Kursus |
: Statistics |
| Code / kod | : NBHS3112 |
| Date / tarikh | : 06-04-2026 02:00 pm |
| Time / masa | : 06-04-2026 02:00 pm – 06-04-2026 10:00 pm |
Instructions To Candidates / Arahan Kepada Calon
- This question paper is set in english and bahasa melayu. Answer all questions using one language only either english or bahasa melayu.
kertas soalan ini disediakan dalam bahasa inggeris dan bahasa melayu. Jawab semua soalan dalam satu bahasa sahaja sama ada bahasa inggeris atau bahasa melayu.
- Read carefully the instructions for each part.
baca dengan teliti arahan bagi setiap bahagian.
- In the event of any discrepancies, the english version shall be used.
sekiranya terdapat sebarang percanggahan pada soalan peperiksaan, versi bahasa inggeris hendaklah diguna pakai.
- Submit your answer online.
hantar jawapan anda secara online.
- Submission deadline : 06-04-2026 10:00 pm tarikh akhir penghantaran
- Total number of answer pages should not exceed 20 pages.
jumlah keseluruhan muka surat jawapan tidak boleh melebihi 20 muka surat.
This question paper consists of part a and part b only.
Kertas soalan ini mengandungi bahagian a dan bahagian b sahaja.
Part a / bahagian a
Instructions / arahan
Part a contains three questions. Answer two.
Bahagian a mengandungi tiga soalan. Jawab dua.
Question/ Soalan
marks/markah
1. The dataset below consists of the ages (in years) of 24 patients collected by a hospital:
22, 24, 27, 30, 31, 33, 35, 36,
25, 28, 29, 32, 34, 37, 39, 41,
26, 27, 30, 33, 36, 38, 42, 44
(a)state three (3) tabular representations that are appropriate for the type of age data.
( 3 )
(b)construct the three (3) tables in logical order and show all necessary steps of working.
( 17 )
( total / jumlah: 20 )
Set data di bawah terdiri daripada umur (dalam tahun) bagi 24 orang pesakit yang telah dikumpulkan oleh sebuah hospital:
22, 24, 27, 30, 31, 33, 35, 36,
25, 28, 29, 32, 34, 37, 39, 41,
26, 27, 30, 33, 36, 38, 44
(a)nyatakan tiga (3) jenis persembahan jadual yang sesuai bagi jenis data umur tersebut.
(b)bina ketiga-tiga jadual tersebut mengikut susunan yang logik dan tunjukkan semua langkah pengiraan yang diperlukan.
2. A hospital conducted a review of patient admissions under two different insurance schemes. The admissions were classified according to clinical department. The data are shown below:
| Clinical department | Scheme a | Scheme b |
| Medical | 72 | 118 |
| Surgical | 55 | 84 |
| Maternity | 38 | 65 |
| Paediatrics | 26 | 44 |
| Rehabilitation | 19 | 27 |
| Total | 210 | 338 |
(a)construct a bar chart to display the number of patients by clinical department under scheme a.
Write one (1) interpretation statement for describing the trend in the data.
( 6 )
(b)construct a multiple bar chart to compare the number of patients by clinical department under scheme a and scheme b.
Write two (2) comparison statements based on the chart.
( 7 )
(c)construct a pie chart for scheme b. Write one (1) statement describing the overall pattern of patient admissions under scheme b.
Show all necessary calculations in determining the percentage (proportion) and central angle for each category.
( 7 )
( total / jumlah: 20 )
Sebuah hospital telah menjalankan kajian semula kemasukan pesakit di bawah dua skim insurans yang berbeza. Kemasukan tersebut diklasifikasikan mengikut jabatan klinikal. Data adalah seperti berikut:
| jabatan klinikal | Skim a | Skim b |
| Perubatan | 72 | 118 |
| Pembedahan | 55 | 84 |
| Materniti | 38 | 65 |
| Pediatrik | 26 | 44 |
| Rehabilitasi | 19 | 27 |
| Jumlah | 210 | 338 |
(a)bina carta bar untuk memaparkan bilangan pesakit mengikut jabatan klinikal di bawah skim a.
tulis satu (1) pernyataan interpretasi yang menerangkan trend dalam data tersebut.
(b)bina carta bar berganda untuk membandingkan bilangan pesakit mengikut jabatan klinikal di bawah skim a dan skim b.
tulis dua (2) pernyataan perbandingan berdasarkan carta tersebut.
(c)bina carta pai bagi skim b. Tulis satu (1) pernyataan yang menerangkan pola keseluruhan kemasukan pesakit di bawah skim b.
Tunjukkan semua pengiraan yang diperlukan dalam menentukan peratus (perkadaran) dan sudut pusat bagi setiap kategori.
3. Over a 12-day period, the number of patients arriving during the first hour of the morning shift in a medical ward was recorded as follows:
12, 15, 14, 16, 13, 18, 17,
14, 15, 16, 30, 14
The nurse manager wants to understand the typical arrival pattern and its variability.
(a)calculate the mean number of patients. Show all working steps.
( 2 )
(b)determine the median number of patients. Show all working steps.
( 5 )
(c)calculate the sample standard deviation. Show all working steps.
( 8 )
(d)calculate the coefficient of variation (cv).
Show all working steps.
( 2 )
(e)interpret the mean, standard deviation, and coefficient of variation. Comment on the consistency of patient arrivals and whether the mean is an appropriate measure of central tendency.
( 3 )
( total / jumlah: 20 )
Dalam tempoh 12 hari, bilangan pesakit yang tiba pada jam pertama syif pagi di sebuah wad perubatan direkodkan seperti berikut:
12, 15, 14, 16, 13, 18, 17,
14, 15, 16, 30, 14
Ketua jururawat ingin memahami corak ketibaan biasa dan tahap variasi.
(a) kira min bilangan pesakit.
tunjukkan semua langkah pengiraan.
(b)tentukan nilai median bilangan pesakit.
tunjukkan semua langkah pengiraan.
(c) kira sisihan piawai sampel.
tunjukkan semua langkah pengiraan.
(d) kira pekali variasi (cv).
tunjukkan semua langkah pengiraan.
(e) tafsirkan min, sisihan piawai dan pekali variasi. Ulas tentang tahap konsistensi ketibaan pesakit dan sama ada min merupakan ukuran kecenderungan memusat yang sesuai.
Part b / bahagian b
Instructions / arahan
Part b contains two questions. Answer all.
Bahagian b mengandungi dua soalan. Jawab semua.
Question/ Soalan
marks/markah
- A university health centre is promoting an influenza vaccination campaign among nursing students. The centre evaluates the campaign using two indicators below. (a)average knowledge score:
| The health centre claims that the average knowledge score after the campaign is at least 75 out of 100. |
| A random sample of 25 nursing students shows a mean knowledge score of 72, with a sample standard deviation of 10. |
| At the 5% level of significance, test whether the population mean knowledge score is less than 75. |
Show all steps of the hypothesis testing procedure, from listing the given data to writing the conclusion about the result.
( 10 )
(b)vaccination rate:
| The centre claims that 80% of students received the vaccine. |
| In a sample of 200 students, 150 reported being vaccinated. |
| Using α = 0.05, test whether the vaccination rate is different from 80%. |
Show all steps of the hypothesis testing procedure, from listing the given data to writing the conclusion about the result.
( 10 )
( total / jumlah: 20 )
sebuah pusat kesihatan universiti sedang menjalankan kempen vaksinasi influenza dalam kalangan pelajar kejururawatan. Pusat tersebut menilai kempen tersebut menggunakan dua indikator berikut.
(a)skor pengetahuan purata:
Pusat kesihatan mendakwa bahawa skor pengetahuan purata selepas kempen adalah sekurang-
| Kurangnya 75 daripada 100. |
| Sampel rawak seramai 25 pelajar kejururawatan menunjukkan skor min pengetahuan sebanyak 72, dengan sisihan piawai sampel sebanyak 10. |
| Pada aras signifikan 5%, uji sama ada min populasi skor pengetahuan adalah kurang daripada 75. |
Tunjukkan semua langkah prosedur pengujian hipotesis, bermula daripada menyenaraikan
data yang diberi sehingga menulis kesimpulan tentang keputusan tersebut.
(b)kadar vaksinasi:
| Pusat tersebut mendakwa bahawa 80% pelajar telah menerima vaksin. |
| Dalam satu sampel seramai 200 pelajar, 150 melaporkan telah divaksin. |
| Dengan menggunakan α = 0.05, uji sama ada kadar vaksinasi adalah berbeza daripada 80%. |
Tunjukkan semua langkah prosedur pengujian hipotesis, bermula daripada menyenaraikan data yang diberi sehingga menulis kesimpulan tentang keputusan tersebut.
- Provide answers to the following:
(a)determine the type of correlation (positive, negative, or no correlation) that might exist in the following four scenarios:
- The relationship between nurses’ years of clinical experience and their clinical competency scores.
- The relationship between number of night shifts worked per month and level of fatigue among nurses.
- The relationship between attendance at stress management workshops and perceived stress levels.
- The relationship between daily water intake and urine output among healthy adults.
( 8 )
(b) A hospital administrator wants to examine whether there is a significant relationship between weekly medication safety training hours and documentation errors among nurses.
| A sample of 10 nurses was analysed and the pearson correlation coefficient was found to be: r = −0.927. |
| Test the significance of the correlation at α=0.05. Show all working including the decision and interpretation of the result. |
( 12 )
( total / jumlah: 20 )
berikan jawapan bagi yang berikut:
(a)tentukan jenis korelasi (positif, negatif atau tiada korelasi) yang mungkin wujud dalam empat senario berikut:
- Hubungan antara tahun pengalaman klinikal jururawat dan skor kompetensi klinikal mereka.
- Hubungan antara bilangan syif malam yang bekerja dalam sebulan dan tahap keletihan dalam kalangan jururawat.
- Hubungan antara kehadiran ke bengkel pengurusan stres dan tahap stres yang dirasai.
- Hubungan antara pengambilan air harian dan jumlah pengeluaran air kencing dalam kalangan orang dewasa sihat.
(b) Seorang pentadbir hospital ingin mengkaji sama ada terdapat hubungan antara bilangan jam latihan keselamatan ubat mingguan dan kesilapan dokumentasi dalam kalangan jururawat.
| Sampel seramai 10 orang jururawat telah dianalisis dan pekali korelasi pearson yang diperoleh ialah: r = −0.927. |
| Uji signifikan korelasi tersebut pada aras signifikan α=0.05. Tunjukkan semua langkah
Pengiraan. |
End of question paper / kertas soalan tamat
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