Experience has shown that the diameter of a machined component is normally distributed, with an average diameter (µ) of 165mm, and a standard deviation (σ) of2.5mm. A sample of 77 components is randomly selected. Q.6.1.1Determine the standard error for this sample. Q.6.1.2What is the probability that the mean diameter of the components in the sample will lie between 164.25mm and 164.75mm? Interpret your answer.

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Answered: Determine the standard error for this…

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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Experience has shown that the diameter of a machined component is normally distributed, with an average diameter (µ) of 165mm, and a standard deviation (σ) of 2.5mm. A sample of 77 components is randomly selected.

Q.6.1.1	Determine the standard error for this sample.

Q.6.1.2	What is the probability that the mean diameter of the components in the sample will lie between 164.25mm and 164.75mm? Interpret your answer.

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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