Question

In: Statistics and Probability

Exercise 19-22 (LO19-4, LO19-6) A new machine has just been installed to cut and rough-shape large...

Exercise 19-22 (LO19-4, LO19-6)

A new machine has just been installed to cut and rough-shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each half-hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow.

Outside Diameter (millimeters)
Time 1 2 3 4 5
8:00 87.3 87.5 88.0 87.1 87.0
8:30 86.9 88.5 87.6 87.5 87.4
9:00 87.8 88.5 86.9 87.4 88.1
9:30 86.0 88.0 87.2 87.6 87.1
10:00 86.8 86.8 86.8 87.2 87.3
10:30 88.0 86.2 87.3 87.2 87.9
  1. Determine the control limits for the mean and the range.(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Mean of sample means =    LCL =    UCL =   
Mean of sample ranges =         LCL =         UCL =      

Exercise 19-30 (LO19-5, LO19-6)

Lahey Motors specializes in selling cars to buyers with a poor credit history. Listed below is the number of cars that were repossessed from Lahey customers because they did not meet the payment obligations over each of the last 36 months.

9 5 4 7 2 11 11 7 12 4
10 10 6 9 14 15 19 12 7 9
11 8 14 8 11 9 12 14 6 17
14 5 6 8 12 13
  1. Find the control limits from the c-bar data for the number repossessed. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Mean number of defects per unit               
LCL
UCL

Solutions

Expert Solution

(first part)

tiem x1 x2 x3 x4 x5 mean range
8:00 87.3 87.5 88 87.1 87 87.38 1.0
8:30 86.9 88.5 87.6 87.5 87.4 87.58 1.6
9:00 87.8 88.5 86.9 87.4 88.1 87.74 1.6
9:30 86 88 87.2 87.6 87.1 87.18 2.0
10:00 86.8 86.8 86.8 87.2 87.3 86.98 0.5
10:30 88 86.2 87.3 87.2 87.9 87.32 1.8
m= 6 6
sum= 524.18 8.5
mean=sum/m= 87.36 1.42

mean of sample means==87.36, LCL=84.06, UCL=90.66

LCL=-A2*=87.36-2.326*1.42=84.06 and UCL=+A2*=87.36+2.326*1.42=90.66

for n=5, the A2=2.326

mean of sample ranges==1.42, LCL=D3=0*1.42=0, UCL=D4*=2.114*1.42=3.00

(second part)

=sum(c)/m=351/36=9.75

LCL=-sqrt()=9.75-sqrt(9.75)=6.63

UCL=+sqrt()=9.75+sqrt(9.75)=12.87


Related Solutions

Exercise 19-22 (LO19-4, LO19-6) A new machine has just been installed to cut and rough-shape large...
Exercise 19-22 (LO19-4, LO19-6) A new machine has just been installed to cut and rough-shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each half-hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. Outside Diameter (millimeters) Time 1 2 3 4 5 8:00 87.3 87.3 88.1 87.0...
A new machine has just been installed to cut and rough-shape large slugs. The slugs are...
A new machine has just been installed to cut and rough-shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each half-hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. Outside Diameter (millimeters) Time 1 2 3 4 5 8:00 87.1 87.4 87.9 87.1 87.0 8:30 86.9 88.5...
Problem 19-17 EPS; options; convertible preferred; additional shares [LO19-4, 19-5, 19-6, 19-7, 19-8, 19-9] On January...
Problem 19-17 EPS; options; convertible preferred; additional shares [LO19-4, 19-5, 19-6, 19-7, 19-8, 19-9] On January 1, 2018, Tonge Industries had outstanding 460,000 common shares ($1 par) that originally sold for $25 per share, and 5,000 shares of 10% cumulative preferred stock ($100 par), convertible into 50,000 common shares. On October 1, 2018, Tonge sold and issued an additional 12,000 shares of common stock at $35. At December 31, 2018, there were 21,000 incentive stock options outstanding, issued in 2017,...
A new industrial oven has just been installed at the Piatt Bakery. To develop experience regarding...
A new industrial oven has just been installed at the Piatt Bakery. To develop experience regarding the oven temperature, an inspector reads the temperature at four di erent places inside the oven each half hour. Reading Time 1 2 3 4 8:00 A.M. 340 350 355 339 8:30 A.M. 344 342 338 338 9:00 A.M. 341 345 347 343 9:30 A.M. 339 339 341 341 10:00 A.M. 337 342 346 341 10:30 A.M. 339 340 339 340 1. Determine the...
A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the...
A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the oven temperature, an inspector reads the temperature at four different places inside the oven each half hour starting at 8:00 a.m. The last reading was at 10:30 a.m., for a total of six samples. The first reading, taken at 8:00 a.m., was 337 degrees Fahrenheit. (Only the last two digits are given in the following table to make the computations easier.) Reading Time 1...
Problem 19-18 EPS; stock options; nonconvertible preferred; convertible bonds; shares sold [LO19-4, 19-5, 19-6, 19-7, 19-8,...
Problem 19-18 EPS; stock options; nonconvertible preferred; convertible bonds; shares sold [LO19-4, 19-5, 19-6, 19-7, 19-8, 19-9] At January 1, 2018, Canaday Corporation had outstanding the following securities: 720 million common shares 45 million 8% cumulative preferred shares, $50 par 4% convertible bonds, $4,500 million face amount, convertible into 90 million common shares The following additional information is available: On September 1, 2018, Canaday sold 81 million additional shares of common stock. Incentive stock options to purchase 40 million shares...
A baby born has just been born to Mary. The cord has been cut and the...
A baby born has just been born to Mary. The cord has been cut and the Dr. hands the baby to the nurse. The first thing you must do after the Dr. hands you the newborn is ____________________. The baby is placed in the warmer. The baby is crying loudly, hands and feet are slightly blueish, extremities are well flexed, heart rate is 140, and when suctioning the infant’s nose and mouth he cry’s 1. What is the baby’s Apgar...
Problem 19-12 EPS; nonconvertible preferred stock; treasury shares; shares sold; stock dividend; options [LO19-4, 19-5, 19-6,...
Problem 19-12 EPS; nonconvertible preferred stock; treasury shares; shares sold; stock dividend; options [LO19-4, 19-5, 19-6, 19-7, 19-8, 19-10] On December 31, 2017, Dow Steel Corporation had 600,000 shares of common stock and 300,000 shares of 8%, noncumulative, nonconvertible preferred stock issued and outstanding. Dow issued a 4% common stock dividend on May 15 and paid cash dividends of $400,000 and $75,000 to common and preferred shareholders, respectively, on December 15, 2018. On February 28, 2018, Dow sold 60,000 common...
Brief Exercise 19-12 (Algo) EPS; shares issued; shares retired [LO19-5, 19-6] McDonnell-Myer Corporation reported net income...
Brief Exercise 19-12 (Algo) EPS; shares issued; shares retired [LO19-5, 19-6] McDonnell-Myer Corporation reported net income of $864 million. The company had 423 million common shares outstanding at January 1 and sold 18 million shares on February 28. As part of an annual share repurchase plan, 9 million shares were retired on April 30 for $26 per share. The answer is not 2.18
abc corp. has just paid $40000 for a new machine that it will use for 4...
abc corp. has just paid $40000 for a new machine that it will use for 4 years. at the end of the 4 years, the machine will have a salvage value of $10000. assume interest rate of 8%. what is the annualized cost of ownership(capital recovery) of the equipment?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT