Answered: Your company has instituted a new…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Your company has instituted a new physical fitness test. Drawing upon experience from similar companies, you believe that test scores will be normally distributed with mean 48.8 and standard deviation 8.5.

You take the test and score a 79. Before estimating the probability of observing a score of 79 or less, you need to convert 79 into the "Z" value so you can use a standard normal distribution.

Report Z(X = 79) to one decimal point, note this is the calculated z score not the associated probability.

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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