Answered: variable is normally distributed with a…

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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A variable is normally distributed with a mean of 35 and a standard deviation of 8.

Use your z-score table to answer the questions below. Give your answer to four decimal places.

a) Find the area under the normal curve to the left of the data value 15.8. __
b) Find the area under the normal curve to the left of the data value 45.4. __
c) Find the area under the normal curve to the right of the data value 27.8._
d) Find the area under the normal curve to the right of the date value 40.6._
e) Find the area under the normal curve between the data values 40.6 and 45.4.__

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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