Popcorn Yvon Hopps ran an experiment to test optimumpower and time settings for microwave popcorn. His goalwas to find a combination of power and time that woulddeliver high-quality popcorn with less than 10% of thekernels left unpopped, on average. After experimenting with several bags, he determined that power 9 at 4 min-utes was the best combination. a) He concluded that this popping method achieved the10% goal. If it really does not work that well, whatkind of error did Hopps make?b) To be sure that the method was successful, he popped8 more bags of popcorn (selected at random) at thissetting. All were of high quality, with the followingpercentages of uncooked popcorn: 7, 13.2, 10, 6, 7.8,2.8, 2.2, 5.2. Does this provide evidence that he methis goal of an average of no more than 10% uncookedkernels? Explain.
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!
Popcorn Yvon Hopps ran an experiment to test optimum
power and time settings for microwave popcorn. His goal
was to find a combination of power and time that would
deliver high-quality popcorn with less than 10% of the
kernels left unpopped, on average. After experimenting
utes was the best combination.
10% goal. If it really does not work that well, what
kind of error did Hopps make?
b) To be sure that the method was successful, he popped
8 more bags of popcorn (selected at random) at this
setting. All were of high quality, with the following
percentages of uncooked popcorn: 7, 13.2, 10, 6, 7.8,
2.8, 2.2, 5.2. Does this provide evidence that he met
his goal of an average of no more than 10% uncooked
kernels? Explain.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
