किसी अभिलक्षणिक के अध्ययन के लिए, जनसंख्या अभिगम के स्थान पर प्रतिदर्श अभिगम का प्रयोग करने के तीन लाभ और तीन हानियाँ लिखिए।
अभिलक्षणिक अध्ययन में जनसंख्या अभिगम के स्थान पर प्रतिदर्श अभिगम का प्रयोग करने के निम्नलिखित लाभ हो सकते हैं:
- समय और लागत की बचत: प्रतिदर्श अभिगम में पूरी जनसंख्या के __________ ___ _________ ________ _______ ________ _________ ___ __________ ___ ___.
___ __________ ___ ______ ________ ____ ___ __________ _______.
_______ ___ ____ ______ _____ ________ ________.
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___ _______ _______ ___ ____ ____ ________ _______ _____ _____ ________ __________.
___ ______ ____ _________ _______.
_______ ______ ________ _______ ___.
_________ _________ _______ _____ _______ ______ ___ __________ ___ _________.
_______ ______ ______ ____ ______ ______.
___ ___ _____ ____ _________ ____ _________.
__________ __________ __________ _________ _____ _________ _____ _______ ____.
____ ____ ________ ________ ___ __________.
_________ ________ ______ ______ ________ ___ ____.
__________ ____ _______ __________ _________ ___ __________ ___ _______ _________.
_______ ____ _________ _______ _________.
_________ ______ _________ ____ ___ _________ ___ ________ ________ ________.
__________ ________ ________ __________ _______ _________ __________ ____.
____ ___ ________ _______ ________ ____ _____.
__________.
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Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics.
| No. | Physics (Xi ) | Mathematics (Yi ) | X2 i | Y2 i | X i 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 | ||
Plating of gold on wrist watches requires a chemical called AiCI3. 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.
| Conc. of AiCI3 /Sample | 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 AiCI, gives same result or not. (Use =0.05)
Two cards are drawn simultaneously or successively without replacement from a well-shuffled deck of 52 cards. Find the probability distribution of number of aces (x). Give a graphical representation of probability distribution.
In a television appearance, an MLA from a state asks voters in that state to indicate whether the MLA should vote against or for a particular piece of legislation. The MLA office receives 4100 replies. Since voters from western part tends to be democrats while those from eastern parts tend to e communists, the MLA divides the replies on the basis of their geographical origin. 68% of the replies from the western part are against the legislation and 36% of the replies from the eastern part are against it.
(i) Did the MLA carry out a stratified sampling?
(ii) Did the MLA carry out a stratified random sampling?
(iii) How would you justify the sample design?
(iv) What improvements would you suggest?
अच्छी तरह से फेंटी गई ताश के 52 पत्तों की गड्डी से एक साथ बिना प्रतिस्थापन के दो पत्ते खींचे गए हैं। इक्कों की संख्या (x). का प्रायिकता बंटन ज्ञात कीजिए। प्रायिकता बंटन का एक ग्राफीय निरूपण प्रस्तुत कीजिए।
Two samples of 9 and 8 sizes give the sum of squares of deviations from respective means equal to 160 and 91 inches squares. Test whether these samples have been drawn from same normal population or not? (Use = 0.05)
किसी अभिलक्षणिक के अध्ययन के लिए, जनसंख्या अभिगम के स्थान पर प्रतिदर्श अभिगम का प्रयोग करने के तीन लाभ और तीन हानियाँ लिखिए।