Answered: The following observations are the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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The following observations are the stopping distance in feet of a bus thats travels at 25mphs, where the population stopping distance is normally distributed

32.1

30.6

31.4

30.4

31.0

31.9

a) does the data suggest that true average stopping distance exceeds 30' with a = .01?

b) In order to minimize Type I and Type II errors, what sample size would be necessary (a=.01 and B = .10) when u' = 31 and standard deviation =.65

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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