MrPerfection
Mr $\text {σ}$ = 12 Minutes,and That the Significance Level $\alpha$

Short Answer

Mr.Perfection
Mr.Perfection,the owner of a small unique restaurant called the Village Feed Store,is concerned with the waiting time for patrons on Sunday morning - the busiest day of the week.He is fearful that,though his establishment is extremely popular,excess waiting time will drive customers to Kenny's,a restaurant down the street.The hostess insists that customers do not have to wait more than an average of 10 minutes before being seated,but Mr.Perfection feels that the waiting time is longer.He takes a random sample of 100 customers over several Sundays.Assume that the population standard deviation $\text {σ}$ = 12 minutes,and that the significance level $\alpha$ = 0.05.
-What is the decision rule in terms of the sample mean $\bar { x }$ ?