A process flow with times is shown below. The activities are sequential. (mean; standard deviation)

Activity 1		Activity 2		Activity 3		Activity 4		Activity 5		Activity 6
(15; 2.6)		(13; 1.8)		(16; 3.0)		(12; 1.6)		(19; 3.2)		(10; 1.7)

What is the overall process mean?

What is the overall process standard deviation?

Disregard the previous values you calculated and assume the overall process mean is 37 seconds and the overall standard deviation is 6.46. What is the Z score for completing the process in 32 seconds or less?

Assuming the overall process mean is 37 seconds and the overall standard deviation is 6.46, what is the lower bound for a 97.5% confidence intervall?

The Z-Score for completing a process in 40 seconds or less is 0.79. What is the probability of completing the process in 40 seconds or less?

The Z-Score for completing a process in 25 seconds or less is -1.26. What is the probability of completing the process in 25 seconds or less?

JoyKat produces band t-shirts to sell at concerts. They expect demand to be 40,000 shirts next year. Each t-shirt costs JoyKat $6. Order setup costs are $20. Holding costs are estimated at 18%. What is the optimal order quantity?

As part of inventory planning, JoyKat needs to determine when to place replenishment orders for blank t-shirts. Lead time with the supplier is 2 days. JoyKat operates 5 days a week. Weekly demand is 800 shirts. What is the Reorder Point without safety stock?