NDC Technology’s MM710e On-Line Snacks Gauge rapidly measures surface brownness of potato chips just before packaging. This allows for a high degree of control over this important characteristic of a potato chip; chips that are too brown are overfried, and chips that are not sufficiently brown are underfried. A potato chip manufacturer is now using the MM710e to assess the quality of the chips it produces; one of this manufacturer’s goals is to produce less than 1 overfried chip in every 1000 chips. In a recent random sample of 111,667 chips taken from the production lines of the manufacturer’s production facilities nationwide, the MM710e found 98 overfried chips. Conduct a hypothesis test to determine if the sample data indicates the manufacturer is meeting its goal for overfried chips at α = .05.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
NDC Technology’s MM710e On-Line Snacks Gauge rapidly measures surface brownness of potato chips just before packaging. This allows for a high degree of control over this important characteristic of a potato chip; chips that are too brown are overfried, and chips that are not sufficiently brown are underfried. A potato chip manufacturer is now using the MM710e to assess the quality of the chips it produces; one of this manufacturer’s goals is to produce less than 1 overfried chip in every 1000 chips. In a recent random sample of 111,667 chips taken from the production lines of the manufacturer’s production facilities nationwide, the MM710e found 98 overfried chips. Conduct a hypothesis test to determine if the sample data indicates the manufacturer is meeting its goal for overfried chips at α = .05.
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