Answered: Assume that the amount of time, in…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 16HP

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Question

Assume that the amount of time, in hours, that college students spend per week on homework is normally distributed with a mean of 15 hours and a standard deviation of 3 hours.

If 75 students are selected at random, what is the probability that they average:

more than 14 hours per week on homework
between 14 and 16 hours per week on homework
less than 15.5 hours of homework per week
Answer in complete sentences. Be sure to include all relevant calculations.

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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