Test 1 qmt181 nov2020 PDF

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UNIVERSITI TEKNOLOGI MARATEST 1COURSE : INTRODUCTION TO STATISTICSCOURSE CODE : QMT181/STADATE : 20 th NOV 2020TIME : 3 – 5 PM (90 MINUTES)Please read these instructions: This test paper consists of four (4) questions. Answer ALL questions. The test must be taken completely alone. Showing it or disc...

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UITM KEDAH

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CS/NOV2020/QMT181/STA104

UNIVERSITI TEKNOLOGI MARA TEST 1

COURSE

:

INTRODUCTION TO STATISTICS

COURSE CODE

:

QMT181/STA104

DATE

:

20th NOV 2020

TIME

:

3.30 – 5.00 PM (90 MINUTES)

Please read these instructions: 1)

This test paper consists of four (4) questions.

2)

Answer ALL questions.

3)

The test must be taken completely alone. Showing it or discussion with anyone is forbidden.

4)

Please write your answer on your own papers using pen.

5)

Student must ensure that their test papers are readable. Ensure that your answers are written clearly with your name, group and student ID are provided.

6)

Student must prepare their answer on pdf format and submit via Google Classroom/Microsoft Teams or any other platform used by lecturer.

7)

Keep close track of your allocated time. Due to internet connectivity, students are given no more than 30 minutes (5.00-5.30pm) to submit their works electronically.

8)

Late submission (after 5.31 pm) will not be accepted.

ALL THE BEST

DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO This test paper consists of 6 pages © Hak Cipta Universiti Teknologi MARA

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QUESTION 1 a)

What level of measurement would be used to measure each variable? i)

The ages of patients in a local hospital. (1 mark)

ii)

The ratings of fiction books - excellent, good, fair, poor. (1 mark)

iii)

Online spending. (1 mark)

iv)

Temperature of hot tub local health clubs. (1 mark)

b)

c)

State which probability sampling method was used. i)

A researcher divides a group of students according to their academic performance (Excellent, Moderate, Low). Then the researcher selects 10 students randomly from each group to answer questions in a survey. (1 mark)

ii)

Every 10th bottle of Lemon Juice is selected, and the amount of liquid in the bottle is measured. The purpose is to see if the machines that fill the bottles are working properly. (1 mark)

ii)

Out of 40 services centres throughout Malaysia, a sample of five centres was selected at random. Questionnaires are disseminated to all customers who services their cars at the five selected services centres on one selected day (the day of the survey). (1 mark)

Mr Lim wants to investigate the stressful of his students during online distance learning. There are six classes taught by him. Out of the six classes, he randomly selected two classes. All students in the selected class are given a set of questionnaires and stress scores obtained are calculated. i)

State the population for the above study. (1 mark)

ii)

Name the sampling method and state the sampling frame. (2 marks)

iii)

Explain how to select his sample from the population by using the method stated in part (ii). (3 marks)

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iv)

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CS/NOV2020/QMT181/STA104

Suggest the suitable data collection method? Give advantage of this method. (2 marks)

QUESTION 2 The table below provides information on the dengue fever incidence rate (per 100,000 population) from 2014-2016 for four states in Peninsular Malaysia.

State

Year 2014

2015

2016

Kelantan

852

165

343

Johor

179

441

290

Pahang

135

184

187

Perak

304

379

151

Source: Ministry of Health Malaysia, 2018 Construct a multiple bar chart to represent the above information and give your comment. (5 marks)

QUESTION 3 The ABZ Company has conducted a survey on the number of motorbike sales for a period of 14 days. The data presented in the stem and leaf as follow:

3

0 3 3

5 0 1 1 2 4 5 5 7

6 3 4 6

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(a) Determine the shape of the distribution of the above data. (1 mark) (b) Calculate the lower quartile and upper quartile for the number of motorbike sales. (2 marks)

QUESTION 4 The data below shows the mass of 40 students in School X. The measurement is to the nearest kg.

(a)

Mass (kg)

Number of Students

45 - 49

2

50 - 54

4

55 - 59

7

60 - 64

10

65 - 69

4

70 - 74

6

75 - 79

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Calculate the mean and variance for the above data. (5 marks)

(b)

Construct a less than ogive for the above data. (3 marks)

(c)

From the ogive, estimate the value of the median and comment on the value obtained. (3 marks)

(d)

Determine the shape of the mass distribution using Pearson’s Coefficient of Skewness. (3 marks)

(e)

The mean and standard deviation of students’ mass for School Y are 13 and 2.5 respectively. Determine which school has a more consistent mass. (3 marks)

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FORMULA LIST

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