Question: Just need 2b, 2c, 3a, 3b Problem 2. As a brake quality inspector at Cico Friction Products , your primary job is to monitor the

Just need 2b, 2c, 3a, 3b

Problem 2.

As a brake quality inspector at Cico Friction Products, your primary job is to monitor the average life of brake shoes being used in the brake assembly. The following sample data on brake shoes life (in 1000s of miles) were collected when the production process was known to be in control. Each sample consisted of 5 observations:

Brake shoes life (1000 miles)

Sample Number

1

2

3

4

5

1

2.324

2.576

2.123

2.912

2.472

2

2.44

2.237

2.534

2.316

2.218

3

2.231

2.412

2.357

2.532

2.374

4

2.236

2.167

2.352

2.561

2.382

5

2.314

2.428

2.235

2.524

2.117

6

2.226

2.315

2.348

2.541

2.479

a. Calculate the upper and lower control limits and the center lines for both the mean (X-bar) and range (R) charts. Refer to Table 9.1 in the textbook for control chart constants. You may use Excel.

To cut production costs, Cico recently changed the supplier of a key component. In order to check if the supplier change has any impact on brake shoes life, the following 10 samples were collected after this change.

Brake shoes life (1000 miles)

Sample Number

1

2

3

4

5

101

2.371

2.287

2.163

2.198

2.301

102

2.847

2.136

2.038

2.364

2.085

103

2.175

2.217

2.112

2.235

2.143

104

2.084

2.023

2.148

2.152

2.37

105

2.286

2.451

2.316

2.305

2.292

106

2.17

2.353

2.167

2.096

2.204

107

2.024

2.075

2.173

2.519

2.127

108

2.181

2.157

2.199

2.213

2.218

109

2.081

2.202

2.167

2.223

2.148

110

2.264

2.212

2.147

2.113

2.92

b. Using the upper and lower control limits and center lines you computed in part (a), plot the sample mean and sample range for each of the 10 samples on the appropriate control chart. You may use Excel to draw the two plots. The plot on textbook p.165 is an example.

c. Is the production process still in control? Why or why not?

Problem 3.

Caman Biscuits produces fruit flavored wafers. The company estimates that each wafer should be at least 0.45 inches and at most 0.52 inches thick. The company is considering outsourcing the wafer production to Warm Biscuits Company. Warm Biscuits produces wafers of normally distributed thickness with a mean of 0.48 inches and standard deviation of 0.023 inches. Caman Biscuits aims for 3 performance for all its products.

a. Calculate Cp. Is Warm Biscuits process capable of producing wafers at the performance level specified by Caman? Please explain your answer.

b. Using Cpk, check if Warm Biscuits process is capable of producing wafers at the performance level specified by Caman? Explain your answer.

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