Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics.
| No. | Physics (Xi ) | Mathematics (Yi ) |
|
|
|
| 1 | 18 | 21 | 324 | 441 | 378 |
| 2 | 20 | 23 | 400 | 529 | 460 |
| 3 | 11 | 14 | 121 | 196 | 154 |
| 4 | 20 | 23 | 400 | 529 | 460 |
| 5 | 14 | 17 | 196 | 289 | 238 |
| 6 | 15 | 18 | 225 | 324 | 270 |
| 7 | 13 | 16 | 169 | 256 | 208 |
| 8 | 16 | 19 | 256 | 361 | 304 |
| 9 | 17 | 20 | 289 | 400 | 480 |
| 10 | 20 | 23 | 400 | 529 | 460 |
| Total | 164 | 194 | 2780 | 3854 | 3412 |
Draw a scatter diagram for all the 10 students and calculate the correlation between marks of Physics and Mathematics.
For the ten students the paired values ((X_i , Y_i)) are ((18,21),(20,23),(11,14),(20,23),(14,17),(15,18),(13,16),(16,19),(17,20),(20,23)). When these points are plotted on a graph with Physics on the X-axis and Mathematics on the Y-axis, all the points lie close to a rising straight line from left _________ _____ _____ _________ _______ _________ _______ ____.
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Find the probability that at most 5 defective fuses will be found in a box of 200, if experience shows that 20% of such fuses are defective.
Consider a population of 11 schools from which a sample of size 3 is to be selected. List all the possible samples by circular systematic sampling.
Consider the case of tossing two dices. Let
A : be the event of getting an odd total
B : the event of getting on the first dice, and
Plating of gold on wrist watches requires a chemical called AiCl3. Concentration of the chemical that is added to the solution is an important factor. The objective is to choose that concentration for which plating is uniform. Three concentration of AiCI3 chosen were 5%, 15% and 20%. These were added in the solution and plating was done and thickness (in units) measured on 5 samples is gives below.
| Sample → ------------------------- ↓ Conc. of | 1 | 2 | 3 | 4 | 5 |
| 5% | 3 | 2 | 4 | 2 | 4 |
| 15% | 4 | 4 | 3 | 2 | 4 |
| 25% | 3 | 3 | 4 | 4 | 2 |
Use ANOVA to comment on whether the concentration of AiCI3 gives same result or 3 not. (Use )
रेयॉन का एक निर्माता इस बात की तुलना करना चाहता है कि सार्थकता के स्तर पर
का पराभव सामर्थ्य मिल रहा है या नहीं। वह निर्माता इसमें से एक प्रतिदर्श लेता है तथा परिकलित करता है कि इसका माध्य
है और मानक विचलन
है। इसके लिए उपयुक्त सांख्यिकीय परीक्षण कीजिए।
: the event of getting a total of seven on two dices.
Then
At a call centre, callers have to wait till an operator is ready to take their call. To monitor this process, 5 calls were recorded every hour for the 8-hour working day. The data below shows the waiting time in weeks:
| Time | Sample number | ||||
| 1 | 2 | 3 | 4 | 5 | |
| 9 am: | 8 | 9 | 15 | 4 | 11 |
| 10 | 7 | 10 | 7 | 6 | 8 |
| 11 | 11 | 12 | 10 | 9 | 10 |
| 12 | 12 | 8 | 6 | 9 | 12 |
| 1 p.m. | 11 | 10 | 6 | 14 | 11 |
| 2 | 7 | 7 | 10 | 4 | 11 |
| 3 | 10 | 7 | 4 | 10 | 10 |
| 4 | 8 | 11 | 11 | 11 | 7 |
Compute the control limits for and R--charts. Draw the control charts for
and ,R and comments.