Mathematics

1.If you have a double acceptance sampling plan where c1=1, r1=4, and r2=6, what is the probability you will accept the lot if the percent nonconforming in the population is 0.5%? Write out the equation for the combined probability of acceptance before you solve for anything.

2.Draw a control chart with the following out of control behaviors:

a. A trend and cycling behavior

b. A jump and two populations

c. Two populations and cycling behavior

d. A jump, a trend, and an obvious mistake

3.Your company has decided to use a p-chart to monitor the quality of their chicken nuggets. Data from the previous 15 batches is listed below.

a. Calculate the central line, warning limits, and action limits for the chart.

b .How would you convert this data into a u-chart?

c. How would this chart be used to determine where to use an Xbar and R chart pair?

Batch #

# nuggets inspected

# nonconforming

10171

125

3

10172

125

5

10173

125

2

10174

125

2

10175

125

7

10176

125

4

10177

125

3

10178

125

4

10179

125

5

10180

125

2

10181

125

1

10182

125

4

10183

125

4

10184

125

3

10185

125

6

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