State whether the following statements are true or false and also give the reason in support of your answer:
(a) The total number of all possible samples of size 2 without replacement from a population of size 7 is 21.
(b) Consecutive 3 random numbers starting from 8937 by 'middle square method' are 8937, 8699, 6726.
(c) RBD is suitable in situations where it is not possible to divide the experimental material into a number of homogeneous blocks.
(d) As we increase the sample size, representativeness of the population by the sample decreases.
(e) In a big hall, there are 50 rows and each row has 60 students. A research scholar selects 10 rows randomly and then randomly selects 15 students from each selected row. It is an example of cluster sampling procedure.
(a) True. The total number of all possible samples of size 2 without replacement from a population of size 7 is given by combination formula (^7C_2 = \frac{7 \times 6}{2 \times 1} = ________ _________ ______ _____ ____ ______.
_______ __________ ___ ___ __________ ________ ____ ____ ________.
______ ____ _______ ___ ___ ________.
____ ________ ________ __________ _______ _____ ___ __________ ______ ___ _______ _________.
______ _____ _________ _______ ______ __________ ______.
____ _________ _____ ___ ______ ________ _____ ______ ______ ____ ____ ________.
_______ ____ ____ ____ _____ ___ _____.
___ ______ ______ _______ ___ __________ __________ _________ _____.
___ ______ ______ ________ ________ ______ ______ ___ _______.
______ __________ ________ __________ ____ _______ _______ ____ _____ ___.
__________ __________ ____ ________ ___ __________ _______ ________ __________ _____ _________.
__________ ____ _______ __________ __________ ____ _________ ________ ____.
______ __________ _______ _____ ______ _________ _____ ____ ____.
__________ ___ ______ ______ ____ _____ _________ __________ _________ __________ __________ _________.
____ _____ ________ ____ __________ ___.
Get Full Answer on WhatsApp
Times between successive crashes of a computer system were generated for a 6-month period and are given in increasing order as follows (time in hours):
1 10 20 30 40 52 63 70 80 90 100 102
130 140 190 210 266 310 530 590 640 1340
The parameter , mean
.
Use the Kolmogorov-Smirnov test to examine the goodness of fit of exponential distribution.
The distribution function of Pareto distribution is given by ,
.
Given a , generate a random number from the above distribution, when
and
.
Suppose , then find x.
Generate a complete cycle for the LCG given below: , with
. A man tosses an unbiased coin ten times. Using the first ten random numbers generated above, obtain a sequence of heads and tails by taking Head (H) as
.
State whether the following statements are true or false and also give the reason in support of your answer:
(a) The total number of all possible samples of size 2 without replacement from a population of size 7 is 21.
(b) Consecutive 3 random numbers starting from 8937 by 'middle square method' are 8937, 8699, 6726.
(c) RBD is suitable in situations where it is not possible to divide the experimental material into a number of homogeneous blocks.
(d) As we increase the sample size, representativeness of the population by the sample decreases.
(e) In a big hall, there are 50 rows and each row has 60 students. A research scholar selects 10 rows randomly and then randomly selects 15 students from each selected row. It is an example of cluster sampling procedure.
The following data relate to production in kg of three varieties P, Q, R of wheat:
| P : | 14 | 16 | 18 | ||
| Q: | 14 | 13 | 15 | 22 | |
| R : | 18 | 16 | 19 | 15 | 20 |
In the following data, two values are missing. Estimate these values by Yates method and analyse the data by suitable technique.
| Treatments | Blocks | ||
|---|---|---|---|
| I | II | III | |
| A | 12 | 14 | 12 |
| B | 10 | y | 8 |
| C | x | 15 | 10 |
Identify the design given in the following table and then carry out the analysis:
| Column | Row | |||
|---|---|---|---|---|
| I | II | III | IV | |
| I | A 8 | C 18 | B 11 | D 8 |
| II | C 16 | B 10 | D 7 | A 4 |
| III | B 12 | D 10 | A 6 | C 20 |
| IV | D 10 | A 9 | C 28 | B 16 |