A computer mouse inspector can inspect an average of 50 mice per hour. A random sample of 42 computer mice inspectors at a particular factory was able to inspect an average of 44 mice per hour with a standard deviation of 14. Does the company have reason to believe that the inspectors at this factory are slower than average? Use the critical value approach and α = 0.01
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!
A computer mouse inspector can inspect an average of 50 mice per hour. A random sample of 42 computer mice inspectors at a particular factory was able to inspect an average of 44 mice per hour with a standard deviation of 14. Does the company have reason to believe that the inspectors at this factory are slower than average? Use the critical value approach and α = 0.01
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