For the population of one town,the number of siblings,x,is a random variable whose relative

frequency histogram has a reverse J-shape.The mean number of siblings is1.3and the standard

deviation is1.4.

Letdenote the mean number of siblings for a random sample of size30.

Determine the sampling distribution of the mean for samples of size30,and give its mean and standard deviation.

Answer Set:

Approximately normal, mean = 1.3, standard deviation = 0.26

Normal, mean = 1.3, standard deviation = 0.26

Normal, mean = 1.3, standard deviation = 1.4

Approximately normal, mean = 1.3, standard deviation = 1.