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BBS611C-BASIC BUSINESS STATISTICS-1ST OPP- NOV 2024 |
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nAmlBIA
UnlVERSITY
OF SCIEnCE Ano
TECHnOLOGY
HP-65B·
HAROLDPUPKEWITZ
GraduateSchoolof Business
FACULTY OF COMMERCE; HUMAN SCIENCES AND EDUCATION
HAROLD PUPKEWITZ GRADUATE SCHOOL OF BUSINESS
QUALIFICATION: DIPLOMA IN BUSINESS PROCESS MANAGEMENT
QUALIFICATION CODE: 06DBPM LEVEL: 6
COURSE CODE: BBS61 l C
COURSE NAME: BASIC BUSINESS
STATISTICS
SESSION: NOVEMBER 2024
DURATION: 3 HOURS
PAPER: PAPER I
MARKS:90
FIRST OPPORTUNITY EXAMINATION -QUESTION PAPER
EXAMINER(S) Mr. A. Roux
MODERATOR: Mr. J. Amunyela
INSTRUCTIONS
1. Answer ALL the questions.
2. Write clearly and neatly.
3. Number the answers clearly.
PERMISSIBLE MATERIALS
1. Examination paper
2. Examination script
3. Scientific calculator
ATTACHMENTS
I. Standard Normal Probability Distribution Table
2. I x A4 Graph Sheet
THIS QUESTION PAPER CONSISTS OF 3 PAGES (INCLUDING THIS FRONT
PAGE)
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QUESTION 1
[30]
The data below represents the cost of electricity (in N$) during the month of June,
2003 for a random sample of 40 two- bedroom apartments in Windhoek.
250 600 553 295 210 389 400 625 850 723
157 423 300 239 487 535 762 532 672 678
522 435 628 456 239 863 764 433 677 245
342 296 456 586 349 421 568 825 924 598
1.1 Summarize the data in a frequency distribution with classes of equal width of
N$100, starting at N$100 - < N$200 ; N$200 - < N$300 ; ext..
(8)
1.2 Represent the data graphically by means of a histogram and a frequency
polygon.
(4+3 =7)
1.3 Use the grouped data set produced in 1.1 to calculate and interpret the
1.3.1) mean
(3)
1.3.2) median
(6)
1.3.3) mode
(6).
QUESTION 2
[15]
Consider the contingency table below.
Production Sales Management Others Total
Undergraduate
92
76
24
65
257
Graduate
19
15
62
41
137
Postgraduate
15
26
37
28
106
Total
126
117
123
134 500
If one employee is randomly selected, what is the probability that he or she:
2.1) is either a postgraduate or belongs to sales department?
(3)
2.2) is an undergraduate given that he/she belongs to production department? (3)
2.3) is neither a postgraduate nor belongs to management department?
(4)
2.4) does not belong to sales department given that is not a graduate?
(5)
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QUESTION 3
[30]
3.1 A company which supplies concrete to the building industries receives on
average 6 orders per day. What is the probability that on any given working
day:
3.1.1) No orders will be received
(4)
3.1.2) Exactly 4 orders will be received
(4)
3.1.3) At least three orders will be received
(7)
3.2 The past record from a company indicated the 90% of customers pay by credit
card for their items. In a random sample of 25 customers, what is the probability
that:
3.1.1) Exactly 20 will pay by credit card.
(3)
3.1.2) At least twenty will pay by credit card.
(6)
3.1.3) At most twenty four will pay by credit card.
(6)
QUESTION 4
[15]
A private hospital in the Khomas Region estimates that its maximum weekly demand
for water during the coming few weeks can be approximated by a normal distribution
with a mean of 100 Kilolitre and a standard deviation of 10 Kilolitre.
4.1) Determine the probability that the maximum weekly demand will be between
100 kl and 125 kl
(5)
4.2) Determine the probability that the maximum weekly demand will be between
94 kl and 108 kl
(5)
4.3) Determine the probability that a given weekly's maximum demand will exceed
87 kl
(5)
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Z-Table
The table showscumulativeprobabilitiesfor the standardnormalcurve.
Cumulativeprobabilitiesfor NEGATIVEz-valuesareshownfirst.SCROLL
DOWNto the 2nd pagefor POSITIVEz
!z
-3.4
I -3.3
I -3.2
l -3.1
• -3.0
: -2.9
-2.8
-2.7
l -2.6
I -2.5
! -2.4
! -2.3
-2.2
; -2.1
-2.0
..i.. -1.9
-1.8
- -1.7
I -1.6
- -1.5
I -1.4
' -1.3
i -1.2
-1.1
-1-.0.
' ..0.9
..0.8
-·-0.7
-0.6
.l ..0.5
I ..0.4
I ..0.3
-0.2
i -0.1
i 0.0
.00
.01
.02 I .03
.04
.05
.06
.07
.08
.0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003
.0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004
.0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005
.0010 .0009 - .0009 .0009 .0008_ .0008 .0008- .0008 .0007
.0013 .00"13 .0013 .00·12 .09·12 .00_11 .0011 .0011 .0010
... .0-0.19
--.0. 026
.0035
.00"18 .0018
.0025 .0024
.0034 .0033
.0017
.0023
.0032
.00·15 .0016
.0023 .0022
.0031 .0030
.0015
.0021
.0029
.0015
.0021
.0028
.0014
.0020
.0027
.0047 .0045 .0044 : .0043 .0041 .0040 .0039 .0038 .0037
.0062
.0082
.0060
.0080
.0059 ' .0057
.0078 .0075
.0055
.0073
.0054
.0071
.0052
.0069
.0051
.0068
.0049
.0066
.0107 .0104 .0'102 .0099 .0096 .0094 .0091 .0089 .0087
.0139 .0136 .0"132 .0129 .0125 .0122 .0119 .01·16 .0"1'13
.0179 .0174 .0170 .0166 .0162 .0158 .0154 .0·150 .0146
.0228
.0222
.0217
.0212
,0]07
.0202
.0197
.0192 .0188
-··
.0287 .028·1 .Op4 .0268 .0262- .0256 .0250 .0244 .0239
I I I I I . I I I .0359 .035"1 .0344 .0336 .. .0329
.:0446_ .0436 .0427 :1 .0418 .0409
.0322 .. .0314
.0-40. 1 .0392
.0307
.0384
_030·1
.0375
.0548 .0537 .0526 I .0516 .0505 .0495 .0485 .0475 .0465
.0668 .0655 .0643 .0630 .06"18- .0606 .0594 .0582 .057"1
.0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694
.0968 .0951 .0934 .0918 I .0901 .0885 .0869 .0853 .0838
.1151 .1"131 .-1112 : ."1093 .1075 .1056 .1038 .1020 .1003
.1357 .1335 .1314 .'1292 .121·1 .1251 .1230 .1210 .1190
.1587
- .1841
.2119
-.·1562 ."1539 ."1515
.·1-81.4- - - .1788 .1762
.2090 .2061 I .2033
.1492
.1736 -
.2005
.1469
.1711
.1977
.1446
.1685
.1949
.1423
-
."1401
--
."1660 .-1635
.1922 ."1894
-.-2-42-·0·
.2743-
.3085
.2389 .2358
.2709 - .2676
.3050 .3015
.23-2-7
.2643
.2981
.2296 .2266
.26·11 .2578
.2946 .2912
.2236
.2546
.2877
.2206
.2514
.2843
.2177
.2483
.2810
.3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156
.3821 .3783 .3745 .3707 I .3669 .3632 .3594 .3557 .3520
.4207 .4"168 .4129 '. .4090 .4052 .4013 .3974 .3936 .3897
.4602 .4562 .4522 .4483 I .4443 .4404 .4364 .4325 .4286
.5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681
.09
.0002
.0003
.0005
.0007
.OOIO
.0014
.0019
.0026
.0036
.0048
.0064
.0084
.0110
.0·143
.0·183
.0233
.0294
.0367
.0455
.0559
.0681
.0823
.0985
.1170
."1379
.1611
.1867
.2148
.245"-1
.2776
.3121
.3483
.3859
.4247
.4641
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Cumulativeprobabilitiesfor POSITIVEz-valuesare shown below.
'z
0.0
0.1
0.2
0.3
; 0.4
' - 0.5
0.6
0.7
0.8
I 0.9
I 1.0
! 1.1
I 1.2
' 1.3
; 1.4
I 1.5
' 1.6
1.7
j 1.8
' 1.9
t 2.0
2.1
' 2.2
' 2.3
2.4
! 2.5
( 2.6
) 2.7
2.8
. 2-.9 ..
' 3.0
; 3.1
3.2
3.3
3.4
.00
.5000
.5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
.903- 2
.9..192
.9332
.9452
.9554
.9641
.9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
.9990
.9993
.9995
.9997
.01
.5040
.5438
.5832
. .6217
.6591
.6950
.729"1
.7611
.79"10
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
.97·(9
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
.9987
.9991
.9993
.9995
.9997
.02
.5080
.5478
.03
.5120
.5517
.·?87"1
.6255
.6628
.6985
.7324
·?910
.6293
.6664
.70"l9
.7357
.7642 _.7673
.7939
.8212
.846"1
.7967
.8238
.8485
.8686 .8708
.8888 .8907
.9066 .9082
.9222
.9357
.9474
.9236
.9370
.9484
.9573 .9582
.9656 .9664
.9726
.9783
.9830
.9868
.9732
.9788
.9834
.987"1
.9898
.9922
.994"1
.9956
.9901
.9925
.9943
.9957
.9967 .9968
.9976 .9977
.9982 ' .9983
.9987 .9988
.9991 .9991
.9994 .9994
.9995 .9996
.9997 .9997
.04
.5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
.7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
.9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
.9927
.9945
.9959
.9969
.9977
.9984
.9988
.9992 '
.9994
.9996
.9997
.05
.5199
.5596
.598.7.
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
.9878
.9906
.9929
.9946
.9960
.9970
.9978
.9984
.9989
.9992
.9994
.9996
.9997
.06
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
.9909
.9931
.9948
.9961
.9971
.9979
.9985
.9989
.9992
.9994
.9996
.9997
.07
.5279
.5675
.6064
.6443
.6808
.1·151
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
.9525
.9616
.9693
.9756
.9808
.9850
.9884
.9911
.9932
.9949
.9962
.9972
.9979
.9985
.9989
.9992
.9995
.9996
.9997
.08
.5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.9·162
.9306
.9429
.9535
.9625
.9699
.9761
.9812
.9854
.9887
.9913
.9934
.9951
.9963
.9973
.9980
.9986
.9990
.9993
.9995
.9996
.9997
.09
.5359
.5753
.6141
.6517
.6879
.7224
.7549
.7852
.8"133
.8389
.8621
.8830
_90·15
.9177
.9319
.9441
.9545
.9633
.9706
.9767
.9817
.9857
.9890
.9916
.9936
.9952
.9964
.9974
.9981
.9986
.9990
.9993
.9995
.9997
.9998
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