Discuss the below:
Q: 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 hrs.
Develop a hypothesis to determine if the mean time spent is more than 0.75 hrs using the .05 significance level.
Suppose the mean shopping time actually increased from 0.75 hrs to 0.77 hrs. What is the probability this increase would not be detected?