A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations with Excel functions. a. What is the probability that a randomly selected American consumes less that 7 pounds of chocolate per year? b. What is the probability that a randomly selected American consumes more that 9 pounds of chocolate per year? c. What is the probability that a randomly selected American consumes between 8 and 12 pounds of chocolate per year?

A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations with Excel functions. a. What is the probability that a randomly selected American consumes less that 7 pounds of chocolate per year? b. What is the probability that a randomly selected American consumes more that 9 pounds of chocolate per year? c. What is the probability that a randomly selected American consumes between 8 and 12 pounds of chocolate per year?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate
consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations
with Excel functions.
a. What is the probability that a randomly selected American consumes less that 7 pounds of chocolate per year?
b. What is the probability that a randomly selected American consumes more that 9 pounds of chocolate per year?
c. What is the probability that a randomly selected American consumes between 8 and 12 pounds of chocolate per year?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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