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?

1. Ifn= 15 and the population is normally distributed, thenx follows a normal distribution.
2. 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