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?

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?

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

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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