Chapter 4 This is how the numbers are calculated

Hehe?

Hearing these two words, almost everyone is a little uneasy, what do you mean?

So the eyes that looked at Zhuang Jianye began to be full of suspicion, especially Peng Chuan and Master Cen, and said in their hearts that it wouldn't be this guy's Tai Chi.

If so, it's not good.

Don't look at the two of them making trouble in the cafeteria, but the two don't want to poke this matter to the factory leader, Peng Chuan needless to say, he is a "black household" waiting for distribution, if he stabs it, he doesn't recruit the leader to see him, and he will have to leave in minutes.

As for Master Cen, it was not in accordance with the rules to find Peng Chuan, and he was also selfish, if he was known from above, it would not mean that he would hit his head on the muzzle.

If it weren't for this, how could the two people who had torn their faces find someone else to comment, and they would have gone to the factory leader to complain.

But now the new college students are shirking each other, and they finally forced the corner to come again, and it's no wonder that the two of them can be good-hearted.

However, just when people thought that Zhuang Jianye was playing Tai Chi and kicked the ball back intact, Zhuang Jianye sighed lightly, then turned a few pages of manuscript paper, and then frowned and asked: "Is this sampling detection scheme tested by the constant of the statistical list on the "Common Mathematical Statistical Methods"?"

Peng Chuan, who was thinking about who should be found to judge if Zhuang Jianye shirked this, was stunned at first when he heard this, and then reacted to what Zhuang Jianye said.

Common Methods of Mathematical Statistics is a book on mathematical statistics compiled by the Statistics Group of the Institute of Mathematics of the National Academy of Sciences.

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

Although Peng Chuan is not engaged in this area, he has participated in the product sampling inspection in the factory several times, and he has seen people use the above constant calculation table, so he is not unfamiliar, but he still shook his head, and returned in a confident tone: "The sampling sample is already the least, and it is naturally the most cost-effective solution, where can I still use the test." ”

"2000 batches, 33 samples, 0 scraps, are you sure it's the most cost-effective?" Zhuang Jianye looked at Peng Chuan and asked.

"Of course!" Peng Chuan replied quite neatly.

And the supporters around him also nodded secretly, 2000 batches, only 33 samples were selected, the proportion was only 1.65% of the overall, it was already a small sample, no matter how you look at it, it is the most cost-effective plan.

But Zhuang Jianye shook his head and looked at Peng Chuan: "If I were you, I would bring this value to 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 is 12 yuan, the failure rate is 2%, with T=n+(N-n)[1-L(p)], roughly calculated, the cost is almost 12,000, are you sure that this cost is the least?"

As soon as this number came out, almost all the people around gasped, and the detection alone required 12,000, which is not low, you must know that the salary is only a few dozen yuan this year, and the cost of more than 10,000 yuan is simply sky-high.

"No, our workshop has to test more than 10,000 yuan every time, so much so that our workshop almost smashed the pot and sold iron. At this time, before Peng Chuan could speak, Master Cen on the opposite side began to complain, and then looked at Zhuang Jianye earnestly: "Little comrade, you have said so, is there any way to reduce the cost of inspection?"

Zhuang Jianye nodded: "Yes, yes, that is, the sampling statistics table on the "Common Mathematical Statistical Methods" is not too accurate, and it can only give you a general reference." ”

"No problem, as long as the cost can be reduced, the reference is fine. Master Cen agreed to come down with a heroic mouthful, not only him, but also other people who watched the excitement were also looking forward to it.

You must know that the cost of sampling inspection is not only the sixth branch, but also other branches and workshops have similar problems, so they all stretched their necks to look at Zhuang Jianye, and at this moment Zhuang Jianye had already taken out the pen in his jacket pocket, and asked for a few pages of the canteen master to read the rest of the newspaper, and calculated it on it.

Soon a sampling test plan for 2000 batches, 165 samples, and 7 unqualified quantities was written on the side of the newspaper, and then Zhuang Jianye used parentheses to bracket the three numbers and brought them into the previous formula to get the number of 2486, which was a long sigh of relief.

It should be this solution, which takes into account the coverage of testing and minimizes the cost.

"Shouldn't the rejection rate be the best value if it is 0, and how can it be the best if it is greater than 0?"

When Zhuang Jianye said the formula for sampling inspection, Peng Chuan's face was a little ugly, and when Zhuang Jianye pushed it step by step from the beginning to the constant statistical table to the sampling plan and the final cost, his face turned white.

couldn't help but shake his head in disbelief, obviously he had deep doubts about Zhuang Jianye's calculations, not only him, Peng Chuan's supporters all looked at Zhuang Jianye suspiciously, the waste rate was 0, the cost was tens of thousands, the waste rate was 7, the sample was overturned, but the cost was only two thousand four, which was more than four times lower, how could it be possible?

"It seems reasonable to artificially set the number of scrap products as 0, but it should also be combined with the actual situation, in this example, if the failure rate reaches 7%, the Air Force will accept it according to 10% of the output, so 0.02 divided by 0.07 is equal to 0.286, according to the constant sampling statistical table, the constant of this number should be 7, and so on, find the sample number ......"

Seeing that Peng Chuan and the others were not annoyed by the loss of face, but with a bit of confusion and a sense of seeking advice, Zhuang Jianye also pointed to the push in the newspaper and told everyone about the calculation method of sampling data.

Of course, if these people don't understand it, Zhuang Jianye doesn't know, anyway, there is one person who can be sure that he didn't understand a word, and that is Master Cen.

Because before he finished speaking, he began to point at Peng Chuan's nose and shouted that the other party had harmed their entire workshop, not only asking him to give an explanation, but also pulling him to the factory leader to comment.

Although there is no direct evidence that Peng Chuan's sampling data led to a high scrap rate in their workshop, the cost of more than 2,000 was made into more than 10,000, which is a big sin, how can Master Cen let it go.

Peng Chuan is a knowledgeable person, as soon as he saw Zhuang Jianye's strict deduction, he knew that his push was wrong to his grandmother's house, so he didn't resist Master Cen's pull, wrong is wrong, there is nothing to say, not to mention that there are so many people present, Peng Chuan can't do that kind of shameless thing.

So he lowered his head and let Master Cen drag him out, but at this moment, Zhuang Jianye stood up and asked Master Cen coldly when he was about to leave: "Master Cen, is the rivet mold in your workshop not up to standard?"