Answered: Boxes of cereal are labels as…

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

Boxes of cereal are labels as containing 13ounces following are the weight of a sample of 12 boxes. Assumes the population is normally distributed 13.01 13.02 13.07 13.09 13.16 13.16 13.02 13.15 13.12 12.98 13.11 13.18 Find the sample standard deviation. Round the answer to at least four decimal places The sample standard deviation is Construct a 90% confidence interval for the population standard deviation. Rounds the answer to at least two decimal places. A 90% confidence interval for the population standard deviation are The goal of the quality control manager is for the population standard deviation of the weight to be less than 0.04. Based on the confidence interval is it reasonable to believe that the goal has been met Yes or no because all or none of the values in the confidence interval are less than 0.04

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 1p

Given that

13.01, 13.02, 13.07, 13.09, 13.16, 13.16 13.02, 13.15, 13.12, 12.98, 13.11, 13.18

We have to find

Find the sample standard deviation

A 90% confidence interval for the population standard deviation are The goal of the quality control manager is for the population standard deviation of the weight to be less than 0.04.

Based on the confidence interval is it reasonable to believe that the goal has been met Yes or no because all or none of the values in the confidence interval are less than 0.04