Answered: The capacitance of capacitors produced…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The capacitance of capacitors produced by a machine is approximately normally distributed with a mean of µ = 1000 µF and a standard deviation of 80 µF. A sample of 16 capacitors is taken and the average of the capacitances values is computed. Based from the manufacturer’s standards, the machine is working properly if the computed average capacitance falls within 950 µF and 1050 µF. Otherwise, we conclude that µ ≠ 1000 µF.

a.) Determine the probability of committing a type I error when µ = 1000 µF.
b.) Determine the probability of committing a type II error when µ = 1080 µF.

Hint: Use the sampling distribution of the mean when computing the probabilities

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 by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc