Test 1 - INTRODUCTION TO STATISTIC QMT181 PDF

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UNIVERSITI TEKNOLOGI MARATEST 1COURSE : INTRODUCTION TO STATISTICSCOURSE CODE : QMTEXAMINATION : NOV 2021TIME : 1 HOUR 30 MINUTESINSTRUCTIONS TO CANDIDATES This question paper consists of FOUR (4) questions. Answer ALL questions. Start each answer on a new page. Write down your FULL NAME , STUDENT I...

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CS/NOV 2021/QMT 181

UNIVERSITI TEKNOLOGI MARA TEST 1

COURSE

:

INTRODUCTION TO STATISTICS

COURSE CODE

:

QMT181

EXAMINATION

:

NOV 2021

TIME

:

1 HOUR 30 MINUTES

INSTRUCTIONS TO CANDIDATES 1.

This question paper consists of FOUR (4) questions.

2.

Answer ALL questions. Start each answer on a new page.

3.

Write down your FULL NAME, STUDENT ID, and GROUP on the first page of your answer sheets.

4.

Student must combine answer scripts into ONE (1) PDF format file and submit it via UFUTURE.

5.

Please check to make sure that this test pack consists of: i) ii)

the Question Paper a one – page Appendix 1 (Formula List)

DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO This question paper consists of 4 printed pages © HakCiptaUniversitiTeknologi MARA

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CS/NOV 2021/QMT 181

QUESTION 1 State whether each of the following variables is qualitative or quantitative. If it is quantitative, identify whether it is discrete or continuous. a) b) c) d) e)

Marital status of contestants in a running competition. The number of persons in the gym. Wages of the employees in Ampang Puteri Specialist Hospital. Brands of electric toaster. Number of houses in Taman Desa Budiman. (5 marks)

QUESTION 2 A survey on customer satisfaction is conducted in Zara outlet. A sampling frame consists of 1000 names of Zara outlet customers. A sample of 200 customers is selected for the survey.

a) State the sample size,n and population size,N in this study. (2 marks) b) Explain how the random sample is chosen using systematic sampling. The number 4 was selected at random as the starting point. (3 marks) c) State the most appropriate method of data collection for this study. (1 mark) d) State the variable of interest for this study and it type of variable. (2 marks) e) Give two reasons why sampling is preferred compared to the census in this study. (2 marks)

© HakCiptaUniversitiTeknologi MARA

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CS/NOV 2021/QMT 181

QUESTION 3 The monthly sales (RM’ 00) of Aisha boutique in six months are as follows. 550 700 600

480 300 500

a) Calculate the mean and standard deviation. (5 marks) b) Find the range. (1 mark) c) Mean and standard deviation in RM (’00) for Sofea boutique is 600 and 100 respectively. Which boutique is more consistent in their sales? Explain your answer. (4 marks) QUESTION 4 Table shows the weight of 100 female employees in Zara outlet for the last 2 months. Weight (in kg) 41 – 45 46 – 50 51 – 55 56 – 60 61 – 65 66 – 70

Number of female employees 5 9 18 25 30 13

a) Compute the mean and standard deviation. (5 marks) b) Calculate the range. (1 mark) c) Compute the mode for the above data. Interpret the value obtained (4 marks) d) Compute the Pearson coefficient of skewness for the data. (3 marks) e) From (d), comment on the shape of distribution. (2 marks)

END OF QUESTIONS © HakCiptaUniversitiTeknologi MARA

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CS/NOV 2021/QMT 181

FORMULA LIST Sample Measurements

x

 fx f

1. Mean,

x

2. Median,

 f    f m 1   C ~ x  Lm   2   fm    

3. Mode,

   f 0  f1    C xˆ  Lmo     f 0  f1    f 0  f 2  

n

x

or

4. Standard Deviation, s 

1  n  1 

s 

1  n  1 

5. Coefficient of Variation, CV =





(x  x)  or 

 1  n  1 

f (x  x)  or 

 1  n  1 

2

2

x

f x

s  100 x

6. Pearson’s Measure of Skewness =

Mean  Mode S tan dard Deviation

or

 x   2



2

2



 

n

  f x n

2

   

3 Mean  Median S tan dard Deviation

where n Lm L mo

f

fm f0 f1 f2 C

m 1

: : : :

sample size lower boundary of median class lower boundary of modal class cumulative frequencies for the classes before the median class

: :

median class frequency modal class frequency frequency for the class before the modal class frequency for the class after the modal class class size

: :

:

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