School-age children should drink approximately 40.5 oz of water per day according to a recent report. Suppose the amounts of water that schoolchildren actually consume in day are approximately normally distributed with a mean of 32.0 oz and a standard deviation of 7.1 oz.What is the probability that a randomly selected student will drink less than the suggested amount of water in a day?If the standard deviation remained the same and the daily water intakes were still normally distributed, how much would the mean need to increase so that only 5% of students drink less than 36 oz per week?

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Answered: What is the probability that a randomly…

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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School-age children should drink approximately 40.5 oz of water per day according to a recent report. Suppose the amounts of water that schoolchildren actually consume in day are approximately normally distributed with a mean of 32.0 oz and a standard deviation of 7.1 oz.

What is the probability that a randomly selected student will drink less than the suggested amount of water in a day?
If the standard deviation remained the same and the daily water intakes were still normally distributed, how much would the mean need to increase so that only 5% of students drink less than 36 oz per week?

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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