Answered: The diameters of bolts produced by a…

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

The diameters of bolts produced by a certain machine are normally distributed with amean of 0.30 inches and a standard deviation of 0.02 inches. Assume that you are incharge of inspecting the bolts coming off of this machine.

(a) What is the probability that the diameter of one randomly selected bolt is greaterthan 0.31 inches?

(b) As an inspector, would you report issues with quality control if you found one bolt which measured greater than 0.31 inches? Why or why not?

(d) As an inspector, would you report issues about quality control if your sample of 40 bolts had a mean diameter greater than 0.31 inches? Why or why not?

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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