Studies from a local mall show the typical shopper spends 0.75 hrs shopping. the standard deviation is 0.10 hours. A sample of 45 shoppers revealed the mean time spent increased to .080.
Develop a hypothgesis to determine the mean time spent is more than 0.75 hrs using the .05 significance level.
Supose the mean shopping time actually increced from 0.75 hrs to 0.77 hrs. What is the probability this increase would not be detected?