The sales representative for manufacturer of new products claims that the product will increase output per machine be at least 28 units per hour. A line manager installs the product on 21 of the machines and finds that the average increase was only 26 with standard deviation of 6. Calculate P value ?
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!
The sales representative for manufacturer of new products claims that the product will increase output per machine be at least 28 units per hour. A line manager installs the product on 21 of the machines and finds that the average increase was only 26 with standard deviation of 6. Calculate P value ?
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