Which one of the following tenets is not correct in the context of Central Limit Theorem ? 'सेन्ट्रल लिमिट थ्यूरम' के संदर्भ में निम्नलिखित में से कौन सा सिद्धांत सही नहीं है?

Question

Accepted Answer

If the population is not normal from which the sample is drawn, the SDM is not normal for any sample size. यदि वह जनसंख्या सामान्य नहीं है जिससे प्रतिदर्श लिया गया है‚ तो किसी प्र्रतिदर्श आकार के लिए एस.डी.एम. सामान्य नहीं है।

Answer

If a population from which a sample is drawn is normally distributed the sampling distribution of mean (SDM) will be normal for all sample sizes. यदि किसी जनसंख्या से लिया गया प्रतिदर्श सामान्य रूप से वितरित किया जाता है‚ तो सभी प्रकार के प्रतिदर्श आकारों

Answer

The mean of the SDM is the population mean. एस.डी.एम. का माध्य जनसंख्या का माध्य है।

Answer

If the population is not normal from which a sample is drawn, the SDM approaches normality as the sample size increases. यदि वह जनसंख्या सामान्य नहीं है जिससे प्रतिदर्श लिया गया है‚ तो जैसे-जैसे प्रतिदर्श का आकार बढ़ता है‚ एस.डी.एम. सामान्यतया के निकट होता

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