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A manufacturing company produces knitted sports goods. It was found that 2% of the goods produced were defective. What is the probability that in a shipment of 100 such goods, 4% or more will prove to be defective?

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To solve this problem, we can use the binomial probability distribution formula. The binomial distribution is applicable when there are two possible outcomes (defective or non-defective) and each trial is independent with a constant probability of success (defective in this case).Let’s denote: (p) as the probability of a single item being defective (0.02 in this … Read more

Mean count of 100 samples of yarn was found to be 40’s with a SD of 6’s Ne. How many tests are required to make at 95% confidence limit, error in yarn count be 2.56 %.

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Answer: To determine the number of tests required to achieve a certain level of confidence with a given margin of error, we can use the formula for the confidence interval of the mean: Margin of Error = (Z_(α/2) *σ) / √n Where: –  Z is the z-score corresponding to the desired confidence level, – σ is … Read more

Reuse of denim garments, a step towards sustainability

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The History of Denim: Global denim market – statistics & facts: Indian denim market – statistics & facts: Environmental impacts of denim processing: Sources of denim waste – statistics & facts: Ways to Reuse, Repurpose, and Re-imagine: Frayed denim pouch: Use a portion of a pair of old jeans to create this simple frayed edge … Read more

Evolution of technology for shirt button attachment & ROI (Return on investment)

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Earlier, button attaching was time-consuming, with more defects when done manually. Now, with advancements in technology, it has become very convenient to do the job. Automated button attachments have helped to reduce the cycle time to a great extent. Different types of buttons like buttons with two holes and four holes could be sewn on … Read more