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Chapter 4 This is how the numbers are calculated

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    hehe?

    Hearing these two words, almost everyone became a little uneasy. What does hehe mean?

    So the eyes he looked at Zhuang Jianye began to be full of suspicion, especially Peng Chuan and Master Cen, thinking that this guy couldn't be playing Tai Chi.

    It would not be good if this were the case.

    Even though the two of them had a quarrel in the cafeteria, they really didn't want to bring this matter to the factory leaders. Needless to say, Peng Chuan was a "black man" waiting for assignment. If they did, they would not recruit the boss.  I'll see you soon, and you'll have to leave in a few minutes.

    As for Master Cen, it was against the rules to find Peng Chuan, and he had selfish motives. If the superiors found out, it wouldn't be the same as banging his head against the muzzle of a gun.

    ?????????????????????????????????????????????? If not, how could the two people who had already broken up with each other seek judgment from others, and would have long gone to the factory leaders to file a complaint.

    But now the new college students are trying to avoid talking to each other, and the one who finally got cornered comes up again. It¡¯s strange that the two of them are in a good mood.

    However, just when people thought that Zhuang Jianye was playing Tai Chi and kicked the ball back intact, Zhuang Jianye let out a light sigh, flipped through a few pages of manuscript paper, and then frowned and asked: "Is there a plan for this sampling test?"  Use the constant test of the statistical list in "Common Mathematical Statistics Methods"?"

    Peng Chuan, who was just thinking about who to call for comment if Zhuang Jianye shied away, was stunned for a moment after hearing this, and then realized what Zhuang Jianye was talking about.

    "Commonly Used Mathematical Statistics Methods" is a mathematical statistics book compiled by the Statistics Group of the Institute of Mathematics of the National Academy of Sciences. In addition to teaching general mathematical statistics methods, it also comes with many commonly used statistical calculation lists.

    Therefore, many units involved in applied calculations such as statistics and sampling use it as a reference book.

    Although Peng Chuan is not in this field, he has participated in several product sampling inspections in the factory. He has seen people use the constant calculation table above, so he is familiar with it, but he still shook his head and returned in a rather confident tone.  : "The number of samples taken is already at a minimum, so it is naturally the most cost-effective solution. There is no need for testing."

    "A batch size of 2,000, a sample number of 33, and a scrap number of 0, are you sure this is the most cost-effective solution?" Zhuang Jianye looked at Peng Chuan and asked.

    "Of course!" Peng Chuan replied quite neatly.

    The supporters surrounding him also nodded secretly. Only 33 samples were selected out of the batch size of 2,000, which is only 1.65% of the total. It is already considered a small sample, and it is the most cost-effective no matter how you look at it.  plan.

    But Zhuang Jianye shook his head and turned his attention to Peng Chuan: "If I were you, I would bring this value into the derivation formula of sampling inspection. After all, this kind of rivet will be scrapped after testing, so according to the cost of each rivet 12  Yuan, the failure rate is 2%, using t=n+(n-n)[1-l(p)], after a rough calculation, the cost is almost 12,000, are you sure this cost is the minimum?"

    As soon as this number came out, almost everyone around took a breath. The light detection required 12,000 yuan. The cost was not low. You must know that the salary was only a few dozen yuan these days. The cost of more than 10,000 yuan was simply astronomical.

    "No, each test in our workshop costs more than 10,000 yuan. The pressure is so great that our workshop is almost selling the pot." At this time, before Peng Chuan could speak, Master Cen opposite began to complain, and then looked at Zhuang Jianye earnestly:  "Comrade, you have said so. Is there any way to reduce the cost of inspection?"

    Zhuang Jianye nodded: "Yes, yes, but I don't remember the sampling statistics table in "Common Mathematical Statistics Methods" very accurately. I can only give you a rough reference."

    "No problem, as long as the cost can be reduced, reference is fine." Master Cen agreed boldly. Not only him, but other onlookers were also looking forward to it.

    You must know that the cost of sampling inspection is not only limited to the Sixth Branch Factory, but also other branches and workshops have similar problems, so everyone craned their necks to look at Zhuang Jianye. At this moment, Zhuang Jianye had already taken out the pen in his jacket pocket and asked for a few pages.  The canteen master looked at the rest of the newspaper and started doing calculations based on it.

    Soon a sampling inspection plan of 2000 batches, 165 samples, and 7 unqualified quantities was written on the side of the newspaper. Then Zhuang Jianye enclosed the three numbers in parentheses and added them to the previous formula to get 2486  After counting, I breathed a sigh of relief.

    This should be the solution, which not only takes into account the detection coverage, but also keeps the cost to a minimum.

    "Shouldn't the inspection scrap rate be 0 to be the optimal value? How can a value greater than 0 be optimal?"

    When Zhuang Jianye said the formula for sampling inspection, Peng Chuan's face was a little ugly. When Zhuang Jianye deduced the sampling plan and final cost step by step according to the constant statistical table from the beginning, his face was even more ugly.It turned white with a brush.

    He couldn't help shaking his head in disbelief. He obviously had deep doubts about Zhuang Jianye's calculations. Not only him, but also Peng Chuan's supporters looked at Zhuang Jianye in confusion. The scrap rate was 0, the cost was tens of thousands, the scrap rate was 7, and the sample  After looking over, the cost is only 2,400, which is more than four times lower. How is that possible?

    "It seems reasonable to artificially set the number of scraps at 0, but it must also be combined with the actual situation. In this example, if the failure rate reaches 7%, the Air Force will accept it as 10% of the output, so 0.02 divided by 0.07 equals 0.286. According to the constant  Sampling statistics table, the constant of this number should be 7, and so on, find the number of samples"

    Seeing that Peng Chuan and others were not angry because of the loss of face, but rather looked confused and asked for advice, Zhuang Jianye pointed to the news in the newspaper and explained the calculation method of sampling data to everyone.

    Of course, Zhuang Jianye didn¡¯t know whether these people understood. Anyway, there was one person who was certain that he didn¡¯t understand a word, and that was Master Cen.

    Because before he finished speaking, he started pointing at Peng Chuan¡¯s nose and yelling that he had harmed their entire workshop. Not only did he want him to give an explanation, but he also wanted to bring him to the factory leaders for comment.

    Master Cen and the others were not just showing off this time. With Zhuang Jianye's theoretical data, they became more courageous. Although there was no direct evidence that Peng Chuan's sampling data led to a high scrap rate in their workshop, the cost of more than two thousand  Being over 10,000 yuan is a huge crime. How can Master Cen let it go?

    Peng Chuan is a knowledgeable person. He saw Zhuang Jianye's rigorous deduction and knew that he had gone to his grandma's house by mistake. Therefore, he did not resist Master Cen's pull. Wrong was wrong. There was nothing to say, let alone  With so many people present, Peng Chuan couldn't do such a shameless thing.

    So he lowered his head and let Master Cen pull him out, but at this moment, Zhuang Jianye stood up and asked Master Cen abruptly as he was about to leave: "Master Cen, are the rivet molds in your workshop not up to standard?"

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