4th Edition

ISBN: 9780073401331

Author: William Navidi Prof.

Publisher: McGraw-Hill Education

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Textbook Question

Chapter 5.1, Problem 5E

In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN.

a. Find a 95% confidence interval for the mean breaking strength of this type of wire.
b. Find a 99% confidence interval for the mean breaking strength of this type of wire.
c. An engineer claims that the mean breaking strength is between 49.7 kN and 50.3 kN. With what level of confidence can this statement be made?
d. How many wires must be sampled so that a 95% confidence interval specifies the mean breaking strength to within ±0.3 kN?
e. How many wires must be sampled so that a 99% confidence interval specifies the mean breaking strength to within ±0.3 kN?

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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Chapter 5.1, Problem 4E

Chapter 5.1, Problem 6E

Chapter 5 Solutions

Statistics for Engineers and Scientists

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