Question

MONDAY TUESDAYWEDNESDAYTHURSDAY FRIDAY SATURDAYSUNDAY 109 100 104 106 112 110 112 110 110 113 110 108 109 110 110 105 109 112 108 11. A study is conducted to investigate the weights of the super-size protein bars produced by a local manufacturer Each wrapper indicates a weight of 110 grams, but complaints have recently been made that the bars are being produced underweight. A sample is taken 4 times per day over the course of a week (n=4, m-7). (2 pt. each unless otherwise stated) a. Create a frequency diagram that graphically represents the spread of these measurements. (4 pt.) b. Interpret the frequency diagram. c. Create an X-Bar Chart (Note that there are 7 subgroups of sample size n-4). Make sure to clearly state the centerline and upper/lower control limits on the chart. (6 pt.) d. Create an R- Chart. Make sure to clearly state the centerline and upper/lower (6 pt.) e. Use the control charts to determine if the process is in control. r/lower control limits on the chart. f. Calculate the estimated population standard deviation, g. Calculate 6 h. Calculate Cp i. Calculate Cp j. The specification limits are 110 g 2 g. Use C, to determine if this company is capable of making t bars to specification. k. Use C to determine if the company is actually making bars within specifications. he 12. The life cycle of 15 machines are tested during a 250 hour long continuous test. During this test, 4 of the machines failed and needed repairs by 50 hours, 100 hours, 105 hours and 200 hours, respectively. (3 pt. each) a. Based on this information, what is the mean time between repairs? b. It takes 15 hours to repair each machine, determine the availability of these machines.

Answer 1

a)

10 120 115 110 105 100 95

b) Data between 106 - 112 have the maximum frequency centered about 109.

c)

115 (1,109.75) 4, 109.75) 5, 109.75) 110 (7,109.5) 6, 108.75 107.75) (3, 108.75) 105 100 -95

calculate the mean of each subgroup and plot it on vertical axis , subgroups are on horizontal axis