Question

The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If​ convenient, use technology to find the probability. For a sample of nequals=3737​, find the probability of a sample mean being less than 12 comma 75212,752 or greater than 12 comma 75512,755 when muμequals=12 comma 75212,752 and sigmaσequals=1.31.3. For the given​ sample, the probability of a sample mean being less than 12 comma 75212,752 or greater than 12 comma 75512,755 is

Answer 1

µ = 12752

sd = 1.3

                                                                 

                                                                 

                                                                   = 0.5 + P(Z > 14.04)

                                                                  = 0.5 + 0

                                                                  = 0.5

since the probability is not less than 0.05 or greater than 0.95, this is not unusual event.