Answered: Moore Reno, an officer in the highway…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a particular stretch of a specific highway are normally distributed with mean 90 kph and standard deviation of 50 kph. Find the probability that the mean speed of 25 randomly selected vehicles is between 75 and 100 kph. Use CLT.

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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