1.A product is normally distribution with a mean of 234 pounds and a standard deviation of 6 pounds.You are willing for 5% of the products made to fall below the lower specification limit.Calculate this lower specification limit? Graphically and/or mathematically justify your answer to receive credit.

2.Given the following data from an Xbar and R chart.Mathematical analysis required for credit:

X double bar = 23 pounds,R bar = 4 pounds,n = 5

Calculate the control limits for the average and the range portion of the X bar and R chart.Round your answers to 2 decimal places.(3 points)

Explain exactly what these control limits represent.(1 points)