(Solved): (A points) Lunch rush - A local restaurant is trying to optimize their scheduling of employee work ...

(A points) Lunch rush - A local restaurant is trying to optimize their scheduling of employee work shifts in a tight labor market, Management believes that their current stalf can handle the lunch rush if the mean number of customers during the lunch hour is not more than 86 . Historical records show that the number of customers in the lunch hour is normally distributed with a standard deviation ot $$?=12.6$$. They decide to conduct a hypethesis test using the trypotheses: $${\mathrm{H}}_0÷?=88\text{ vi. }{\mathrm{H}}_4:?>88$$ To conduct this test, managecrent will take a random sample of 8 days trom the past 3 months and calculate the mean number of customers during the lunch hour on thoce doys. They use a decision rule that if the sample mean is more than 93.6 managornent will hive a new employee to help during the lunch rish. Round all caiculated values to 4 decimal places. 1. Wrich of the following describes a Type I errot in this situation? A. Mansgement hires a new employee when they reed to. B. Masagement does not tire a new employee whien they need to C. Management hiees a new erroloyee when they do not need ta. D. Management does not hire a new employee when they do not noed to. 2. Which of the foliowing describes a Type 11 eror in this shuation? A. Maragenect does non tire a new employee when they need to. B. Munegement hes a new employee when they need to. C. Management heres a new erroloyee when they do not need to. D. Managemert does not hre a now employoe whan they do not need to. 2. What is the probibilyy that maragernent wil make an Type l error wath their decivion rue? Probabilty of a Type l ertor = 4. Using their deciaion nale, what is the power of the hypothesis test if the mean mumber of cussomers during the lunch hour is actualy gos s?? Power: