The mean per capita consumption of milk per year is 146 lite

The mean per capita consumption of milk per year is 146 liters with a standard deviation of 28. If a sample of 246 people is randomly selected, what is the probability that the sample mean would be less than 141.67 liters.

Solution

Find Z-score for 141.67

=(146-141.67)/28

       =0.154

find p(z<.75)

and substract the no. from 1 that will be the answer