Answered: Assume that the distribution for the…

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

Assume that the distribution for the following scenario is normal. Use the standard normal table to find the probability. Round z-scores to the nearest hundredth. Do not round the probability from the table.

Heights of 2 year old boys are normally distributed with mean 28 inches and standard deviation of 2.4.

What is the chance a 2 year old boy is less than 26 inches tall? P(xP(x Answer

26)=P(z26)=P(z Answer

Answer

)=)= Answer

What is the chance a 2 year old boy is more than 20 inches tall? P(xP(x Answer

20)=P(z20)=P(z Answer

Answer

)=)= Answer

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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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