The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible samples of size four? approximately Normal with a mean of 70 seconds and a standard deviation of 5 seconds approximately Normal with a mean of 70 seconds and a standard deviation of 20 seconds approximately Normal with a mean of 140 seconds and a standard deviation of 20 seconds approximately Normal with a mean of 140 seconds and a standard deviation of 10 seconds
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 times to pop a 3.4-ounce bag of microwave popcorn without burning it are
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