The production of cam rollers is investigated, which are the precision ground parts. The last part...
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The production of cam rollers is investigated, which are the precision ground parts. The last part of the production process involves the grinding of the outer diameter. The half-inch rollers technically have an engineering specification for the outer diameter of the roller of 0.5075 inch plus a tolerable error of 0.0003 inch on the lower side. Anything larger is reclassified into a different and less costly category, and anything smaller is unusable for anything other than scrap. Because the production occurs in batches, sample five parts are produced from each batch and data is collected over 30 batches. Batch 1 2345678 OF 23. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0.5076 0.5075 0.5075 0.5075 0.5075 0.5076 0.5076 0.5075 0.5074 0.5076 0.5075 0.5075 0.5076 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5075 0.5075 0.5076 0.5076 0.5075 0.5075 0.5077 0.5075 0.5077 0.5075 0.5076 2 0.5076 0.5077 0.5075 0.5076 0.5074 0.5075 0.5076 0.5076 0.5076 0.5077 0.5075 0.5076 0.5076 0.5076 0.5075 0.5074 0.5074 0.5075 0.5076 0.5074 0.5074 0.5076 0.5076 0.5076 0.5075 0.5076 0.5075 0.5076 0.5075 0.5075 3 0.5075 0.5076 0.5075 0.5074 0.5076 0.5076 0.5076 0.5076 0.5075 0.5075 0.5075 0.5075 0.5073 0.5074 0.5076 0.5076 0.5075 0.5076 0.5075 0.5077 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5074 0.5075 0.5074 0.5075 0.5077 0.5076 0.5075 0.5076 0.5073 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5077 0.5076 0.5076 0.5074 0.5075 0.5074 0.5075 0.5075 0.5076 0.5075 0.5076 0.5075 0.5076 0.5075 0.5074 0.5076 0.5075 0.5075 0.5076 0.5075 0.5075 0.5076 0.5073 0.5076 0.5075 0.5075 0.5074 0.5076 0.5075 0.5075 0.5075 0.5074 0.5075 0.5073 0.5075 0.5072 0.5076 0.5076 0.5074 0.5075 0.5074 0.5076 0.5075 0.5074 0.5075 0.5075 0.5076 0.5075 0.5075 (a) Briefly describe the distribution of outer diameter of the roller for the 30 batches. (Hint: mean, histogram. ;(b) Does this sample support the engineering specification that the outer diameter of the roller of 0.5075 inch. Verify your answer. :(c) Discuss the development of a control chart scheme for the diameters of cam rollers, graph the control charts, and comment on the quality level of the cam rollers? :(d) State the reason for your choice on the type of control chart in (c). :(e) Show the computation of limits for your chart in (c). (f) Find the percentage of nonconforming cam rollers produced by this process assuming the diameter measurement is normally distributed. ;(g) Calculate and comment on the capability of the production process :(h) Supposedly, a new batch of cam rollers is produced and the diameter readings are recorded. Briefly explain how the control chart scheme can be applied to examine the state of statistical control for the production process of the new batch of cam rollers. (1) Briefly comment on the sampling technique used to study the quality of cam rollers and what part does it play in the control chart analysis? The production of cam rollers is investigated, which are the precision ground parts. The last part of the production process involves the grinding of the outer diameter. The half-inch rollers technically have an engineering specification for the outer diameter of the roller of 0.5075 inch plus a tolerable error of 0.0003 inch on the lower side. Anything larger is reclassified into a different and less costly category, and anything smaller is unusable for anything other than scrap. Because the production occurs in batches, sample five parts are produced from each batch and data is collected over 30 batches. Batch 1 2345678 OF 23. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0.5076 0.5075 0.5075 0.5075 0.5075 0.5076 0.5076 0.5075 0.5074 0.5076 0.5075 0.5075 0.5076 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5075 0.5075 0.5076 0.5076 0.5075 0.5075 0.5077 0.5075 0.5077 0.5075 0.5076 2 0.5076 0.5077 0.5075 0.5076 0.5074 0.5075 0.5076 0.5076 0.5076 0.5077 0.5075 0.5076 0.5076 0.5076 0.5075 0.5074 0.5074 0.5075 0.5076 0.5074 0.5074 0.5076 0.5076 0.5076 0.5075 0.5076 0.5075 0.5076 0.5075 0.5075 3 0.5075 0.5076 0.5075 0.5074 0.5076 0.5076 0.5076 0.5076 0.5075 0.5075 0.5075 0.5075 0.5073 0.5074 0.5076 0.5076 0.5075 0.5076 0.5075 0.5077 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5074 0.5075 0.5074 0.5075 0.5077 0.5076 0.5075 0.5076 0.5073 0.5075 0.5075 0.5075 0.5075 0.5075 0.5076 0.5077 0.5076 0.5076 0.5074 0.5075 0.5074 0.5075 0.5075 0.5076 0.5075 0.5076 0.5075 0.5076 0.5075 0.5074 0.5076 0.5075 0.5075 0.5076 0.5075 0.5075 0.5076 0.5073 0.5076 0.5075 0.5075 0.5074 0.5076 0.5075 0.5075 0.5075 0.5074 0.5075 0.5073 0.5075 0.5072 0.5076 0.5076 0.5074 0.5075 0.5074 0.5076 0.5075 0.5074 0.5075 0.5075 0.5076 0.5075 0.5075 (a) Briefly describe the distribution of outer diameter of the roller for the 30 batches. (Hint: mean, histogram. ;(b) Does this sample support the engineering specification that the outer diameter of the roller of 0.5075 inch. Verify your answer. :(c) Discuss the development of a control chart scheme for the diameters of cam rollers, graph the control charts, and comment on the quality level of the cam rollers? :(d) State the reason for your choice on the type of control chart in (c). :(e) Show the computation of limits for your chart in (c). (f) Find the percentage of nonconforming cam rollers produced by this process assuming the diameter measurement is normally distributed. ;(g) Calculate and comment on the capability of the production process :(h) Supposedly, a new batch of cam rollers is produced and the diameter readings are recorded. Briefly explain how the control chart scheme can be applied to examine the state of statistical control for the production process of the new batch of cam rollers. (1) Briefly comment on the sampling technique used to study the quality of cam rollers and what part does it play in the control chart analysis?
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Cornerstones of Financial and Managerial Accounting
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2nd edition
Authors: Rich, Jeff Jones, Dan Heitger, Maryanne Mowen, Don Hansen
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