Let x 1, x 2, xn be a random sample drawn from a population with mean and standard deviation , and let x denote the sample mean Which of the following statement(s) are correct If n 15 and the population is normally distributed, then x follows a normal distribution If n 100, then x can be approximated by a normal distribution even if the population is slightly right skewed a) Only ii is correct b) Only i is correct c) Both i and ii are correct d) Neither i nor ii is correct

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Question: Let x 1, x 2, ... xn be a random sample drawn from a population with mean and standard deviation , and let x denote

Letx1,x2, ...xnbe a random sample drawn from a population with mean and standard deviation , and letx denote the sample mean.Which of the following statement(s) are correct?

Ifn= 15 and the population is normally distributed, thenx follows a normal distribution.
Ifn= 100, thenx can be approximated by a normal distribution even if the population is slightly right-skewed.

a) Only ii. is correct

b) Only i. is correct

c) Both i. and ii. are correct

d) Neither i. nor ii. is correct

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