Question

In: Statistics and Probability

The population mean and standard deviation are given below. Find the indicated probability and determine whether...

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

Solutions

Expert Solution

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.


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