Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture a metal clamp involves the drilling of three holes. In a sample of 55 clamps, the mean time to complete this step was 44.6 seconds. Assume that the population standard deviation is σ=9 seconds. Round the critical value to no less than three decimal places. A 99% confidence interval for the mean is 41.5<μ <47.7 (b) Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5 A sample size of
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!
Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture a metal clamp involves the drilling of three holes. In a sample of 55 clamps, the mean time to complete this step was 44.6 seconds. Assume that the population standard deviation is σ=9 seconds. Round the critical value to no less than three decimal places.
A 99% confidence interval for the mean is 41.5<μ <47.7
(b) Find the
| A sample size of __is needed in order to obtain a
99.5% confidence interval with a margin error of
1.5. Round the sample size up to the nearest integer.
|
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