Answered: s produced by a certain machine are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

d) As an inspector, would you report issues about quality control if your sample of 40bolts 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.

Expert Solution

Step 1

d).

From the information above, we have

$μ_{\bar{x}} = m e a n o f s a m p l e m e a n = 0.30 σ = s \tan d a r d d e v i t a i o n = 0.02 n = s a m p l e s z i e = 40 \bar{x} = d a t a p o i n t = 0.31$