solution

Use the following to answer the following 7 questions: A company makes plastic cups. Four samples of 15 cups were taken from an ongoing process to establish a p chart for control. The samples and the number of defectives in each are shown in the following table: Sample n Number of Defectives 1 15 2 2 15 0 3 15 3 4 15 5 ?? What is the proportion defective for Sample 1? 0.133 0.667 0.333 0.200 0.167 Question 19 2.53 pts What is the average proportion defective? 0.05 0.167 0.667 0.123 0.200 Question 20 2.53 pts What is the standard deviation of the sampling distribution of sample proportion defective? Please carry FOUR decimal places for the calculation. 0.1865 0.0963 0.0077 0.0093 O 0.0711 Question 21 2.53 pts What is the z-value associated with a 3% alpha risk? 2.34 3.00 2.17 1.96 2.58 Question 22 2.53 pts What upper and lower control limits would give a 3% alpha risk? Please carry FOUR decimal places for the calculation. O [0, 0.3760] [0, 0.5717] [0, 0.2733] O [0, 0.7265] O [0, 0.4559] Question 23 2.53 pts For upper and lower control limits of 0.30 and 0, which sample(s), if any, appear(s) to be out-of- control for process proportion of defectives? Sample 2 Sample 1 Samples 1 and 4 o Sample 4 Sample 3 Question 24 2.53 pts On average, what is the expected number of defectives per sample (with 15 cups each sample)? 2.5 O 5.2 2.0 3.3 10