Pre University Board 2010 P.U.C. Commerce (CEBA) Statistics - Question Paper

do&,d0 dOe.b.

eJ co    oOk

41.    S3 JoODd D0J,d) , e<d0Y S30) JoJd. Jood S30 d Od/rad aoJ a< 3 ml AoJ {3b 00 d3dad. d) d Oe3,,d

_0    (.    oOk

, <0d3A

24 , ra e<rt > )r /d ),Xd3A wObX>,3Ad doJ dd > J n>

ro    t    eJ e*J    -e    t

ndo!bX>,3Ad. aeX.} n> aoJ a<o 38 ml wdd, ad\

Ied/r d I$b.

t

42.    <,db wn3ddo A doJ B odo w&dD wdo33 d. A w&n3do X,

2J    -0    t    -0    -6

53rtdd0Y Xod) dd3 ae0 dd3 Sbdo 0Od) dOJ . J3 dad J d;I,,arn nJ3 rid S3rt dooiXOJ . A w&n3do o

co i. i.     *    -o    tao    v'-o

dad3 od

CO

B wn3do b Se>eXo. d ,ODd d A w&n3do B n 100 d.

CO

XdeXo. d3d0 B wn3do A wn3dan 60 d. XdeXo. A

CO    CO

wn3d de-w d/J_c)XDo_t dDO. S,edDO ,d:sJe< odDd Soaddoe ?

( English Version )

Note : i) Statistical tables will be supplied on request.

ii)    Scientific calculators may be used.

iii)    All working steps should be clearly shown.

SECTION - A

I. Answer the following questions :    10 x 1 = 10

1.    In a life table define Radix.

2.    What is the value of Index number for the base year ?

3.    State the relation between Laspeyres, Paasches and Fishers Indices.

4.    What is meant by trend ?

5.    For what value of p is Binomial distribution symmetrical ?

6.    Write down the probability function of a normal variate which has mean 8 and variance 9.

7.    Define Statistical Hypothesis.

8.    In a chi square test for goodness of fit if there are 8 classes and if two parameters are estimated, what is the degrees of freedom of the test statistic ?

9.    When do you call a game unfair ?

10.    Give one use of statistical quality control.

SECTION - B

II. Answer any ten of the following questions :    10 x 2 = 20

11.    Give any two comparisons between CDR and STDR.

12.    If Laspeyres index is 137-1 and Paasches index is 139-3, find Dorbish-Bowley index.

13.    Define consumer price index number.

14.    With which components of a time series would you mainly associate each of the following ?

a)    Increase in money in circulation for the last 10 years.

b)    Rainfall in Bangalore that occurred for a week in December, 2007.

15.    If p = ¹ for a Bernoulli distribution, write down mean & variance.

3

16.    Find P ( X = 0 ) in a Poisson distribution with mean 5.

17.    Define Type I and Type II errors.

18.    A random sample of size 36 is drawn from a population whose variance is 16. Write down the standard error of the sample mean.

19.    In a paired t-test if n = 10, d = 4-3 and s_d = 1-3, what would be

tabs ?

20.    Specify two needs for replacement of capital equipment.

21.    Write two advantages of maintaining an inventory.

22.    Mention the UCL and LCL in C-chart when standards are unknown.

SECTION - C

III. Answer any eight of the following questions :    8 x 5 = 40

23. From the following data calculate the CBR, GFR and ASFR for the age

27.    If the chance that the vessel arrives safely at a port is , find the

10

chance that out of 5 vessels expected at least 4 will arrive safely ?

28.    If a random variable X follows Poisson distribution such that P ( X = 1 ) = P ( X = 2 ), find

a)    the mean and standard deviation of the distribution

b)    P ( X = 0 )

29.    In a sample of 500 people in Kerala 280 are tea drinkers and the rest are coffee drinkers. Can we assume that both coffee and tea are equally popular in this state at 1% level of significance ?

30. 1000 students at college level were graded according to their IQ and the economic conditions of their homes. Use "² test to find out whether there is any association between economic conditions at home and IQ.

31.    The mean weekly sales of the chocolate bar in candy stores were 146-3 bars. After an advertising campaign the mean weekly sales in 22 stores for a typical week increased to 153-7 bars and showed standard deviation of 17-2. Was the advertisement campaign successful ?

32.    Graphically solve the following :

Maximize Z = 100x + 20y Subject to x + 2y > 20

2x + 5y < 80 and x > 0, y > 0

33.    A taxi owner from his past records finds that the maintenance cost per year of a taxi whose purchase price is Rs. 8,000 are as given below :

34. 10 samples each of size 5 were inspected and the number of

Get the control limits for number of defectives ( np-chart ).

SECTION - D

IV. Answer any two of the following questions :    2 x 10 = 20

35. a) Compute standardized death rates for towns X and Y and state

Also apply TRT and FRT to the above index number.

37. Production figures of a sugar factory in 1000 quintals are given

a)    Fit a straight line trend to the above data

b)    Plot these figures on a graph and show the trend line

c)    Estimate the production for 1979.

Test the hypothesis that male & female births are equally likely at 5% level of significance.

SECTION - E

V. Answer any two of the following questions :    2 x 5 = 10

39.    The weekly wages of workmen are normally distributed around a mean of Rs. 70 and with a standard deviation of Rs. 5. Find the probability of workers whose weekly wages will be

a)    more than Rs. 80

b)    between Rs. 69 and Rs. 72.

40.    400 women shoppers are chosen at random in market A. Their average weekly expenditure on food is found to be Rs. 250 with a s.d. of Rs. 40. The figures are Rs. 220 and Rs. 55 respectively in the market B, where also 400 women shoppers are chosen at random. Test at 1% level of significance whether the average weekly food expenditures of populations of shoppers are equal.

41.    A milk filling machine fills sachets with milk. The contention is that standard deviation of quantity of milk filled is more than 3 ml. To test this 24 sachets are randomly selected and their content noted. If the standard deviation of these observations is 3-8 ml, what is your conclusion ?

42.    Two players A and B play a game A writes either red or blue or green on a piece of paper. He hides that he has written from his opponent. Player B without knowing what A has written should guess it. If his guess is correct, A should pay Rs. 100 to B, otherwise B should pay Rs. 60 to A. Write down the pay-off matrix of A. Does the game have a saddle point ?

You are here: PAPER Pre University Board 2010 P.U.C. Commerce (CEBA) Statistics - Question Paper

•  
• Top

• Skip to content