3-2024 3rd... O Question 9 7 pts lap (Beta) dentials ments ts Disregard the friction and the normal force. If the value of Q = 291 N. what is the magnitude of the moment in N-m at B due to forces P, Q, R, and S? Disregard positive or negative signs. S D A -1000N R 800N 1.8 m B C P-100N 2.1 m 3.1 m tions AB = 2.4m BC= 5.0m Interior angle at D is 70 degrees AB and DC are parallel Drive 55
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- S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index4. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.3 4 153.5 4.8 5 156.6 4.7 Part 2 a) What is the value of x? x= _______ mm (round your response to two decimal places). b) What is the value of Upper R overbarR ? Upper R overbarRequals= _______ mm (round your response to two decimal places). c) What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx using 3-sigma ? Upper Control Limit (UCL Subscript x overbarUCLx ) = _________ mm (round your response to two…Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)
- 73) please please help me with this question I don't know how to do it A metal fabricator produces connecting rods with an outer dlameter that has a 1 0.05 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.020 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places.The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yrLQ9 Indicate whether each target suggests a gun that is valid and/or reliable.
- Suppose that material hardness is normally distributed with a mean of 52 and a standard deviation of 1. Specification limits for hardness are from 45 to 55. What is Cp?14. A manufacturer of photographic film produces an average of 12,000 rolls of vari- ous types of film each day. An inspector samples 25 from each day's production and tests them for accuracy of color reproduction and overall film quality. During 12.3 Control Charts for Attributes: The p Chart 687 23 consecutive production days, the inspector rejected the following numbers of rolls of film: Day Number Rejected Day Number Rejected 1 2 13 1 2 3 3 14 1 15 16 4 1 3 17 4 18 2 3 7 7 19 8 20 21 22 1 1 2 2 10 11 23 1 12 a. Based on these observations, compute three-sigma limits for a p chart. b. Do any of the points fall outside the control limits? If so, recompute the three-sigma limits after eliminating the out-of-control points. mmWhat Happens When a Process Exhibits PossibleNonrandom Variation?
- 57. A manufacturer of large appliances maintains a p chart for the production of washing machines. The machines may be rejected because of cosmetic or functional defectives. Based on sampling 30 machines each day for 50 consecutive days, the current estimate of p is .0855. a. What are the control limits for a p chart? (Assume 3ơ limits.) b. Suppose that the percentage of defective washing machines increases to 20 per- cent. What is the probability that this shift is detected on the first day after it occurs? c. On average, how many days would be required to detect the shift?. Prepare a scatter diagram for each of these data sets and then express in words the apparent relationship between the two variables. Put the first variable on the horizontal axis and the secondvariable on the vertical axis.b. Temperature (°F) 65 63 72 66 82 58 75 86 77 65 79Error rate 1 2 0 0 3 3 1 5 2 1 3In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above. Calculate p-bar based on the samples above. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%? Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.