A variable of a population is normally distributed with mean

and standard deviation .

For samples of sizen, complete parts(a).

a. Approximately68% of all possible samples have means that lie within

of the populationmean, .

Justify your answer.

Since the variable is normallydistributed, its sample mean x is normally distributed within and standard deviation ?

according to the central limit theorem. Using the empirical rule forvariables, approximately ?

of all possible observations from a normal distribution lie within ? standarddeviation(s) of the populationmean, .

Score: 0 of 1 pt 14 of 15 (13 complete) HW Score: 76.27%, 11.44 of 15 pts 7.3.78 Question Help A variable of a population is normally distributed with mean u and standard deviation G. For samples of size n, complete parts (a) through (d) below. a. Approximately 68% of all possible samples have means that lie within Vn of the population mean, H. Justify your answer. Since the variable is normally distributed, its sample mean x is normally distributed with mean u and standard deviation Vn according to the central limit theorem. Using the empirical rule for variables, approximately 68% of all possible observations from a normal distribution lie within 68% standard deviation(s) of the population mean, H