When he was 3 months old, Benjamin Chance weighed 13.8 pounds. The national average for the weight of a 3 -month-old baby is 12.5 pounds, with a standard deviation of 1.5 pounds. a. Determine the Z-score for Ben's weight, and write a sentence interpreting it. Round your answers to two decimal places. At three months, Benjamin Chance's weight was about of a standard deviation O the average. b. Determine what proportion of 3 -month-olds weigh more than Ben. Be sure to state any assumptions you make in order to do this calculation. Round your answer to four decimal places. You must assume that three-month-old American babies' weights are c. For a 6 -month-old, the national average weight is 17.25 pounds, with standard deviation of 2.0 pounds. Determine what Ben's weight would have to have been at the age of 6. months for him to be among the middle 68% of 6-month-old babies. Enter your answers in increasing order.

When he was 3 months old, Benjamin Chance weighed 13.8 pounds. The national average for the weight of a 3 -month-old baby is 12.5 pounds, with a standard deviation of 1.5 pounds. a. Determine the Z-score for Ben's weight, and write a sentence interpreting it. Round your answers to two decimal places. At three months, Benjamin Chance's weight was about of a standard deviation O the average. b. Determine what proportion of 3 -month-olds weigh more than Ben. Be sure to state any assumptions you make in order to do this calculation. Round your answer to four decimal places. You must assume that three-month-old American babies' weights are c. For a 6 -month-old, the national average weight is 17.25 pounds, with standard deviation of 2.0 pounds. Determine what Ben's weight would have to have been at the age of 6. months for him to be among the middle 68% of 6-month-old babies. Enter your answers in increasing order.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

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!

Question

When he was
3 months old, Benjamin Chance weighed 13.8 pounds. The national average for the weight of a 3 -month-old baby is 12.5 pounds, with a standard deviation of 1.5 pounds.
a. Determine the 2 -score for Ben's weight, and write a sentence interpreting it.
Round your answers to two decimal places.
Z =
At three months, Benjamin Chance's weight was about
of a standard deviation
the average.
b. Determine what proportion of 3 -month-olds weigh more than Ben. Be sure to state any assumptions you make in order to do this calculation.
Round your answer to four decimal places.
You must assume that three-month-old American babies' weights are
c. For a
-month-old, the national average weight is 17.25 pounds, with a standard deviation of 2.0 pounds. Determine what Ben's weight would have to have been at the age of
months
6
for him to be among the middle 68%
of
-month-old babies.
Enter your answers in increasing order.
His weight would have to be between
pounds and
pounds.

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