Tamil Nadu Open University (TNOU) 2009 M.Com Commerce Applied business statistics - Question Paper
wk 9
PG-221
M.Com. DEGREE EXAMINATION JUNE 2009. (AY 2003 and CY 2004 batches only)
MCO-5
First Year APPLIED BUSINESS STATISTICS Time : 3 hours Maximum marks : 75
PART A (3 x 5 = 15 marks)
Answer any THREE questions.
All questions carry equal marks.
1. What is meant by stratified random sampling? and explain when it is to be used?
uSukZU oom? c yU
oO-u-X
2. Write a short note on standard error of estimate.
{u-iuu>-gi V- w kUUggy ]>Sffl- <&&itP3
3. Discuss various theorems of Probability.
{pUPg <M(UJTS>M<>)P~'mU kk>0 ot g otuSpS
4. The incidence of occupational disease in an industry is such that the workmen have 20% chances of suffering from it. What is the probability that out of six workmen 4 or more will contact the disease?
J25% h rf
EPfh 3 ; ~umPsi h 9 AgX AagS 0wmShiem~70C0ijh eP {PuP Gg m?
5. The simple co-efficient correlations between two variables out of three are as follows r12 = .8, 713 = .7 r23 = 0.6.
Find the partial co-efficient of correlations r12.3 .
gl -ftyw Pp c kw-xyw Pp g Ehg Uhrf R&p Pkkffi- umavpnshm As0m< gff
r12 = 0.8, r13 = 0.7 r23 = 0.6
uSEhg &S- rf P r12.3 PnuQkP.
PART B (4 x 15 = 60 marks)
Answer any FOUR questions.
All questions carry equal marks.
6. A can solve the 90 percent of the problems given in a book and B can solve 70 per cent of the problems given in the book and C can solve 60 per cent of problems given in the book. What is the probability that atleast one of them will solve the problem selected at random.
Jff p-kkjp- umakfiEh PnufiPp a
Gg u<&n 5% PgS* US 0h Ps; mg b Ggur5% PgS* US 0h P'S QMfflAgaf c Gg u<n: 5% PnufiPfl ugfi 0lPs m~lg Jff PnmfpP w-it-t& Jffwp0LpTw {PuP
luf ?
7. The number of defects per unit in a sample of 330 units of manufactured product was found as follows :
No of 0 1
2 3 4
20 3 1
defects
No. of 214 92
Units
Fit a Poisson distribution to the data and test for goodness of fit.
885 ASPp EPfn Jff g e&w
&pprfro-ffpPp g o%s ompP
&&pgirn 5 6 7 8 9
U-ffpPp 769 1 7 75 8 6
g
Gs ou0p
C SU0g> gffuf Ut<&&& PngQpk Aug
UtV- mflh b /g \03
8. Calculate the Spearman Rank Correlation co-efficient for the following data.
X : 22 28 31 23 29 31 27 22 31 18
Y : 18 25 25 37 31 35 31 29 18 20
R&p P~kUp- umskfiEh g &t[firm P~s k wSlh PnuQkP.
X : 22 28 31 23 29 31 27 22 31 18
Y : 18 25 25 37 31 35 31 29 18 20
9. You are supplied the with the following data only Variance of x = 9 Regression equation :
40X - 5Y + 33 = 0
20X - 9Y - 107 = 0
Find the mean values of X and Y
The standard deviation of Y and The Co-efficient of correlation between X and Y.
iRsp-q g &t[p Pk&p- umkvT
Vmh g up sufflH, : i
Uh3uuSPkSi?
40X - 5Y + 33 = 0 20X - 9Y - 107 = 0
P~S P
X,Y \t-\D
vmg uP
U~Lg~ .
10. The figures relates to the number of refrigerators sold by 4 salesmen in three months is given below
|
May |
16 |
8 |
12 |
14 |
|
June |
14 |
10 |
10 |
6 |
|
July |
4 |
10 |
8 |
8 |
Do the data indicate that the sales in the three months are significantly different (Given F value for 2 and 10 d.f. at 5% lelvel of confidence 3.98)
y wur0OT~ \0u Sp umnaPm Gs (OU0P
RRsj) :
6; = 67 69
69 65 65 ;
a) 0 9 65 = =
TgT y su[pp su stfjyf US- y up susjjgp
0 b a0l- u0h y gu0m \0U U[PP 4 Got P~s P F V- 7 ggrf 65 df 3 : V- 83r=.
11. The Rural Bank is reviewing its service charges and interest paying policies on cheque accounts. The bank has found that the average daily balance on personal cheque accounts in Rs. 550.00, with a standard deviation of Rs. 150.00. In addition, the average daily
balances have been found be normally distributed.
(2 values are 0.33=0.1293, 1.66=0.4515 2.33=0.4898).
(a) What percentage of personal cheque account customers carry average daily balances in excess of Rs. 800.00?
(b) What percentage of customers carries a balance Rs. 200.00 or lower?
(c) What percentage of customers carries a balance of more than Rs. 600.00 and less than Rs. 800?
Jsff qit- su[q Gu0tJ9 gS
pf Z U0g> B
p g sut[p
hrmw- umhX 3 \t\n Jsff nrprPnstf
::53 Vmiy gp ffl. 6:5 Jsff mp PngS Jsrfut&&-p EPPX 3 C gfognfl p P_S k 7 V-tf 5388 = 5367i83
6.'; =9:6:, 7388=9=i =.
3 = 55gS aVPP Ep/iffSj3T
b . GzU \Ug U i0p'OTPnuSPp 3 755gS S0(&~P EPS
C. GzU0 \UU ~jg0P~,CTff 6 55gS =55gS C0h- UmkEp/CTwr
12. Explain the multivariate analysis and uses in managerial decision making.
XtytMPip g uS- D0pP0OT
g shuq ASMttftpg s0 wsPm uwgum&h g rnufiPS
7 PG-221
|
Attachment: |
| Earning: Approval pending. |
