Answered: The speed of 12 drivers in a given road…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

14. The speed of 12 drivers in a given road segment has been measured, obtaing the following values:
89 82 95 102 84 80
86 79 96 81 98 86
Assuming that the speed values in that segment follow a normal distribution,
a) Compute a confidence interval at the 99 % level for the average speed of all drivers in the road.
b) Which would be the value of the interval if it is computed using only the first 8 values in the
sample?

c) For the complete sample, which confidence levels would leave out of the interval the speed
limit (90 Km/h) in that road?

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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