Answered: The distribution of hours of sleep per…

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 distribution of hours of sleep per week night for college students is found to be normally distributed with a mean of 6.5 hours with a standard deviation of 1 hour.

A)What proportion of the students have sleep hours more than 8 hours? ( show work)

B)What proportion have sleep hours between 5 & 7 hours?(show work)

C) What sleep hour does a student have to be in an upper 5%?(show work)

D) What is the lower quartile of the sleep hours for college students? (show work)

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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