Can vaccination be regarded as a preventive measure for smallpox from the given data:
(i) Of 1482 persons in a locality exposed to smallpox, 368 in all were attacked, and
(ii) Of 1482 persons, 343 had been vaccinated and of these only 35 were attacked.
We are asked to determine whether vaccination can be regarded as a preventive measure for smallpox using the given data. Total population exposed = 1482, total attacked = 368. Attack rate for unvaccinated persons: _____ _____ ________ ________ ______ _________ _____ _____ ____ ____.
___ __________ _______ _______ _______ ______ ___ ___ ________ ___.
_____ ________ ________ _________ _______.
________ ___ _________ _______ _________.
___ _________ ______ _____ ___ _________.
___ ________ ________ ______ _____ ______ ________ ___.
___ ________ ___ _________ ___ __________ _______ ________ _______ ________ ____ ________.
______ _____ ___ ______ __________ ______ ______ _______ _________ ____ ________ __________.
_________ ______ ____ __________ _______ ___ ____ __________ _________ ______ ___ ______.
____ _______ __________ __________ ____ ____ ________ _________ __________ _______.
______ __________ ___ _________ _________.
____ _____ ____ ____ __________.
_____ ________ _____ __________ _______ ______ _____.
__________ _______ _________ __________ _________.
___ ___ _________ ____ _______ ___ _____ __________ ________.
_______ _______ _____ ________ _____ ______.
________ _________ ____ _____ ________ ________ ___.
_______ _______ ____ ___ _______ ______.
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Suppose X and Y are the two variables having the correlation coefficient 0.85. The following are the values they have:
| X | Y |
|---|---|
| 10 | 40 |
| 30 | 30 |
| 50 | 70 |
| 60 | 80 |
Calculate Karl Pearson's coefficient of correlation between X and Y for the following data: and
.
An investigation of 23713 households was made in an urban and rural mixed locality. Of these 1618 were farmers, 2015 well to do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well to do; also 587 well to do families were those of farmers and out of them only 156 were having at least one graduate. Obtain all the ultimate class frequencies.
In the given data, two frequencies are missing and its mean is found to be 1.46.
| No. of Accidents (x) | Frequencies (f) |
|---|---|
| 0 | 46 |
| 1 | ? |
| 2 | ? |
| 3 | 25 |
| 4 | 10 |
| 5 | 5 |
| Total | 200 |
50% of items have characteristics A and B both, 35% have A, but not B, 25% have B but not A. Show that there must be some misprints in this report.
(a) In a statistical study relating to the prices (in T) of two shares, X and Y, the following two regression lines were found as and
. The standard deviation of
, then find (i) the values of X and Y, (ii) r(X, Y), and (iii) standard deviation of Y.
State whether the following statements are true or false and also give the reason in support of your answer:
(a) If and
are the variate values of two variables X and Y, and their geometric means are G1 and G2, respectively, then geometric mean of
will be (G1/G2).
(b) If X and Y are two independent variables and the variables and
, then the
(c) If each value of X is divided by 2 and of Y is multiplied by 2, then b'YX will be same as b.
(d) The mean and standard deviation of a set of values are 25 and 5, respectively. If a constant value 5 is added to each value, the coefficient of variation of the new set of values is equal to 10%.
(e) If and
then
.