Asimple random sample of size nequals=1414 is obtained from a population with muμequals=6363 and sigmaσequals=1717.
(a) what must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? assuming that this condition is true, describe the sampling distribution of x overbarx.
(b) assuming the normal model can be used, determine p(x overbarxless than< 66.566.5).
(c) assuming the normal model can be used, determine p(x overbarxgreater than or equals≥64.164.1).