8. (Topic 8) Suppose the average height of a two year old male is normally distributed with a mean of 34.2 inches and a standard deviation of 2.9 inches. Use this information to answer each part below. (a) What is the z-score associated with a two year old male that is 38 inches tall? Would this child be considered unusually tall for his age? (b) What is the z-score associated with a two year old male that is 28 inches tall? Would this child be considered unusually short for his age?
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!
8. (Topic 8) Suppose the average height of a two year old male is
-
(a) What is the z-score associated with a two year old male that is 38 inches tall? Would this child be considered unusually tall for his age?
-
(b) What is the z-score associated with a two year old male that is 28 inches tall? Would this child be considered unusually short for his age?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
