The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0.01 inch. A random sample of size 10 yields an average diameter of 1.5045 inch.Find a 99% two-sided confidence interval on the mean hole diameter. Find a 90% two-sided confidence interval on the mean hole diameter.Explain the difference of the interval between the two confidence levels.

Given : Sample size = n = 10 Mean = X = 1.5045 Standard deviation = s = 0.01

Answered: The diameter of holes for a cable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0.01 inch. A random sample of size 10 yields an average diameter of 1.5045 inch.
1. Find a 99% two-sided confidence interval on the mean hole diameter.

Find a 90% two-sided confidence interval on the mean hole diameter.
Explain the difference of the interval between the two confidence levels.

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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