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M3Q1: What is the difference between the parameter and statistic?
ANS: The parameter, representing a statistical characteristic of the population, is a constant for the given population, but, the statistic, representing a statistical characteristic of the sample, is a variable.

M3Q2: What is the standard error of mean fiber length?
ANS: The standard deviation of distribution of mean fiber length is the standard error of mean fiber length.

M3Q3: Why it is not practically possible to obtain a simple random sample as defined?
ANS: It is practically impossible to numerically identify each individual of a population either because of the large size of the population or because of the inaccessibility or current non-existence of some of the individuals, therefore, it is not possible to obtain a simple random sample as defined.

M3Q4: Why it is often said that the larger sample can give more precise estimation of population mean?
ANS: This is said so because as the sample size increases, the standard deviation of sample mean (that is, standard error of sample mean) reduces.

M3Q5: While calculation of variance, sometimes the divisor is found to be n-1, where n is sample size, and sometimes it is found as n? Why is it so?
ANS: While calculating the sample variance, the divisor should be n, and this is known as a biased estimator of population variance. But, when the divisor is n-1, the resulting expression is known as an unbiased estimator of population variance.

M3Q6: In order to know whether the newly developed process is superior to the existing process,which test-one-tailed test or two-tailed test-is recommended?
ANS: One-tailed test.

M3Q7: In order to know whether the newly developed process is different than the existing process, which test-one-tailed test or two-tailed test-is recommended?
Ans: Two-tailed test.

M3Q8: Is it so that the probability of type II error can be reduced by the choice of a larger sample size?
ANS : Yes


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