Answered: The amount of coffee that people drink…

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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The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 5 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X?X-N(,) What is the distribution of x? x-N() What is the probability that one randomly selected person drinks between 14.9 and 15.1 ounces of coffee per day? For the 35 people, find the probability that the average coffee consumption is between 14.9 and 15.1 ounces of coffee per day. For part d), is the assumption that the distribution is normal necessary? YesNo

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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