Statistical Methods (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 29 - 33 of 72
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 165 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.
Rs. 550.00 or
Question number: 29
» Statistical Methods » Tests of Significance » Chi-Square
Appeared in Year: 2010
Describe in Detail
For 2X2 table
| A | b |
| C | d |
prove that Chi-square test of independence gives
Explanation
… (140 more words) …
Question number: 30
» Statistical Methods » Bivariate Distributions » Bivariate Normal Distribution
Appeared in Year: 2014
Describe in Detail
The marginal distributions of X and Y are given in the following table:
| X | 1 | 2 | Total | |
| Y | 3 4 | ? ? | ? ? | 1/4 3/4 |
| Total | 1/2 | 1/2 | 1 | |
If the co-variance between X and Y is zero, find the cell probabilities and see whether X and Y are independent.
Explanation
… (94 more words) …
Question number: 31
» Statistical Methods » Association and Contingency
Appeared in Year: 2014
Describe in Detail
A medicine supposed to have effect in preventing TB was treated on 500 individuals and their records were compared with the records of 500 untreated individuals as follows. Study the effectiveness of medicine by calculating (i) Yule’s coefficient of association (ii) Yule’s coefficient of colligation.
| - | No-TB | TB |
| Treated | 252 | 248 |
| Untreated | 224 | 276 |
Explanation
… (100 more words) …
Question number: 32
» Statistical Methods » Data » Multivariate
Appeared in Year: 2011
Describe in Detail
The following are the frequencies in the given intervals:
| (2 - 5) | (5 - 10) | (10 - 15) | (15 - 18) | (18 - 20) | |
| 43 | 85 | 151 | 112 | 72 | 34 |
Draw the histogram of this data. Calculate the mean of the data from the frequency table.
Explanation
… (33 more words) …
Question number: 33
» Statistical Methods » Tests of Significance » Z-Test
Appeared in Year: 2014
Describe in Detail
Let X follow a binomial distribution B (n, P). Explain the test procedure for
H 0: P = P 0 against H 1: P > P 0
when the sample size is (i) small, and (ii) large. It is desired to use sample proportion p as an estimator of the population proportion P, with probability 0·95 or higher, that p is within 0·05 of P. How large should sample size (n) be?
Explanation
… (184 more words) …