Answered: centimeters, are found to be 1.01,…

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

Question

A machine produces metal pieces that are cylindrical in shape. A sample
of pieces is taken, and the diameters, in centimeters, are found to be
1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, 1.03
a. Find a 99% confidence interval for the mean diameter of pieces
from this machine, assuming an approximately normal distribution.
b. Find the 95% tolerance limits that contain 95% of the diameters.
c. Construct a 99% confidence interval for o^2(sigma squared)
ANS:
A. 0.9781 cm < u < 1.0330 cm;
B. LB = 0.9188 cm, UB = 1.0923 cm;
C. 0.00022 cm sq < o^2(sigma squared) < 0.00359 cm^2

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