The turkeys found in a county in southern Ohio have an average weight of 15.6 pounds with a standard deviation of 4.0 pounds. Forty (40) turkeys are randomly selected for a county fair. What is the probability that the average weight of these turkeys is more than 17 pounds? First, calculate the Z SCORE and round your answer to the second decimal place: ______ Round the probability to the 4th decimal place: _____ Use the probability value to tell me whether or not it would be unusual to randomly choose 40 turkeys and find that their average weight is more than 17 pounds? (yes or no and explain your answer to receive full credit) _________
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 turkeys found in a county in southern Ohio have an average weight of 15.6 pounds with a standard deviation of 4.0 pounds. Forty (40) turkeys are randomly selected for a county fair. What is the
First, calculate the Z SCORE and round your answer to the second decimal place: ______
Round the probability to the 4th decimal place: _____
Use the probability value to tell me whether or not it would be unusual to randomly choose 40 turkeys and find that their average weight is more than 17 pounds? (yes or no and explain your answer to receive full credit) _________
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