An electric company has been selling a bulb, which was advertised as having an average life of 1, 500 hours. Assume that the lifetime of these bulbs is normally distributed with a standard deviation of 800 hours. A random sample of 16 bulbs from this manufacturing process was tested ad their lifetimes were recorded. Question: A lot consisting of 10,000 bulbs will be rejected if the sample mean based on 16 bulbs is 1,200 hours or less. What is the probability that the lot will be rejected?
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!
An electric company has been selling a bulb, which was advertised as having an average life of 1, 500 hours.
Assume that the lifetime of these bulbs is
random sample of 16 bulbs from this manufacturing process was tested ad their lifetimes were recorded.
Question:
A lot consisting of 10,000 bulbs will be rejected if the sample
What is the
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