Question

Using information given in the table below and applying nearest neighbor algorithm, calculate the shortest path that starts from Home, visiting all the locations - Post Office, Dry Cleaning, Bank and Grocery Store - in any order and goes back to Home.

Distance between points	Home	Bank	Post Office	Dry Cleaning	Grocery Store
Home	NA	8	18	32	24
Bank	8	NA	5	21	13
Post Office	18	5	NA	34	13
Dry Cleaning	32	21	34	NA	13
Grocery Store	24	13	13	13	NA

1. What would be the shortest path starting and ending at Home with the condition of visiting all the locations once?

2. Suppose you ran 50 separate simulations. Each of these simulations represent a week (7 days) of working with a molding machine. During each simulation, the average number of the machine's failures per day was recorded. You observed that the mean of all of your sample means follows a normal distribution with a standard deviation of 25 that is, ~N(M, 25). Later you decided to run a hypothesis testing on the population mean with the assumptions below and an alpha = 0.01.

?0:The population mean is equal to 15

?1:The population mean is not equal to 15

What would be the lowest and highest values of the sample mean that would allow you to not reject the null hypothesis?

2. Lowest value:
3. Highest value:

Answer 1