A manufacturing company is interested in buying one of two different kinds of machines for production purposes. The first machine was run for 17 hours. It produces on average of 50 items per hour with variance of 8 items2. The second machine was run for 15 hours. It produces on average 40 items per hour with variance of 10 items2.Assume that the production per hour for each machine is (approximately) normally distributed and there a homogeneity between the populations' variances of the number of items produced by the 2 machines. Compute 99% confidence interval for the difference between the two means. What is the tabulated value What is the S.E value What Is the lower and upper bound
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 manufacturing company is interested in buying one of two different kinds of machines for production purposes. The first machine was run for 17 hours. It produces on average of 50 items per hour with variance of 8 items2. The second machine was run for 15 hours. It produces on average 40 items per hour with variance of 10 items2.Assume that the production per hour for each machine is (approximately)
What is the tabulated value
What is the S.E value
What Is the lower and upper bound
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