question archive Quality Control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to make the product stop working
Quality Control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to make the product stop working
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Quality Control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to make the product stop working. Suppose that, for one product, 97% of all the units made at a particular factory can hold at least 800 lbs. of weight before breaking. To check the product, Quality Control selects a random sample of 400 units made at the factory and determines whether or not the product can hold at least 800 lbs. of weight before breaking. What is the probability that the randomly selected sample will have less than 96.5% of the units that can hold at least 800 lbs. of weight before breaking? (HINT: You'll need to find the mean and standard deviation of the sample percentages as a first step in finding this probability)
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