STA404 - Statistic for bussinese and social science

CONFIDENTIAL 1 CS/JUL 2021/STA404




UNIVERSITI TEKNOLOGI MARA
FINAL ASSESSMENT (ASSESSMENT 4)



COURSE : STATISTICS FOR BUSINESS AND SOCIAL
SCIENCES
COURSE CODE : STA404
EXAMINATION : 6TH AUGUST 2021
TIME : 2 HOURS (1445 1645)



INSTRUCTIONS TO CANDIDATES

1. This question paper consists of SEVEN (7) questions.

2. Answer ALL questions in the foolscap paper. Start each answer on a new page.

3. Candidates must accomplish this assessment within 2 hours.

4. Candidates are required to convert their completed answer in one PDF file before
submission (<FULLNAME_UiTM ID_GROUP>.pdf).

5. Candidates are given 30 minutes to email their completed answer to the respective
lecturers.

6. Candidates are required to attach the following details in every page of the answer script :

i) Full Name
ii) Student Number
iii) Group
iv) HP Number

7. Please check to make sure that this assessment pack consists of :

i) the Question Paper
ii) a five page Appendix 1

8. Answer ALL questions in English.




PLEASE READ THE INSTRUCTIONS CAREFULLY BEFORE START THE EXAMINATION
This assessment paper consists of 12 printed pages
© Hak Cipta Universiti Teknologi MARA CONFIDENTIAL

,CONFIDENTIAL 2 CS/JUL 2021/STA404




QUESTION 1

A random sample of employees were selected from three different types of stores at the
mall and their ages were recorded. Assume that the assumptions for the parametric test
are met. The data were analyzed and the result is shown below.

Department Store Music Sport



a) Calculate the sum of squares between groups.
(4 marks)

b) Given the between-group variance is 727.925 and total sum of square is 2823. Hence,
compute the value of test statistic for the above data.
(3 marks)

c) At the 0.05 significance level, test the claim that there is a difference in mean ages for
three types of stores at the mall.
(4 marks)


QUESTION 2

and the
number of accidents he or she had over a 3-year period. The data collected for 10 drivers
are shown below.

16 24 16 18 23 27 32 24 28 21
age
No of
3 2 5 2 0 1 1 1 0 3
accident

is normally distributed, the data
were analyzed and the output is indicated below.




a) Identify the predictor and response variables.
(1 mark)

b) Compute the value of Z. Explain the value obtained.
(5 marks)

© Hak Cipta Universiti Teknologi MARA CONFIDENTIAL

, Question I


2832
9 47 2x6
.
=




26 8x6.
=
160 8 .




29 8 x6
.
=
178 8 .




81
1788212832
+ 160 8 + 178
8"
. .




160
>
.




253-2 +
+ is
SSB = -
6
6




= 1459 84 .




b) MSB 727 925 727 925
:
F
.
·


=


91. 144
59T = 2823
=
7 9565 .




MS B
F =

insw




SSW = SST-SSB
= 2823 -
1455 84 .




=
1367 16 .




18-3 15
If
:
n-K
denomenator
:
:




13676
MSW = ssu 15
=
91141




2) There is difference
Ho : no in mean
ages in three different type of store

difference
type of
H : atleast one mean
ages is difference in three stone
-




K-1 n-K
Fa , Ve 2 :
05
For 0
:
U:
.




: ,V ,
, ,



: Fo .
os , 2 , 15
=
3 74.




Fal = 7 9865
.




Since Fcal : 7 95657
.
Fau :
374
,
rejectHo ,

: Therefore is
enough evidence to indicate that there is atleast one mean


ages
is difference three difference of store's
in
type ages mean