A random sample of 64 automobiles traveling on a section of an interstate showed an average speed of 65 mph. The distribution of speeds of all cars on this section of highway is normally distributed, with a standard deviation of 13.5 mph. The 86.5% confidence interval for μ, in mph, is _ a. 63.139 to 66.861 b. 62.478 to 67.522 c. 51.500 to 78.500 d. 45 to 85

A random sample of 64 automobiles traveling on a section of an interstate showed an average speed of 65 mph. The distribution of speeds of all cars on this section of highway is normally distributed, with a standard deviation of 13.5 mph. The 86.5% confidence interval for μ, in mph, is _ a. 63.139 to 66.861 b. 62.478 to 67.522 c. 51.500 to 78.500 d. 45 to 85

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

A random sample of 64 automobiles traveling on a section of an interstate showed an average speed of 65 mph. The distribution of speeds of all cars on this section of highway is normally distributed, with a standard deviation of 13.5 mph.

The 86.5% confidence interval for μ, in mph, is _

a. 63.139 to 66.861

b. 62.478 to 67.522

c. 51.500 to 78.500

d. 45 to 85

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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