15. Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fillvolume can be assumed normal. A random sample of 10 bottles is taken from the output ofeach machine, and the fill volume readings of the bottles are as follows:田16.0316.04Machine 116.01Machine 216.0215.9716.0316.0415.9616.0516.0516.0215.9815.9616.0116.0216.0215.9916.0116.0015.99a. What is the standard deviation of sampling distribution of the sample mean for Machine1?b. Find a 95% confidence interval on the difference in means of the fill volume for thetwo machines.c. Find a 90% confidence interval on the variance of the fill volume for Machine 2.

Given Data : a) For Machine 1 : Count, N: 9 Sum, Σx : 144.1 Mean, x̄2 =Σx/N 16.0111…

a. What is the standard deviation of sampling distribution of the sample mean for Machine 1? b. Find a 95% confidence interval on the difference in means of the fill volume for the two machines. c. Find a 90% confidence interval on the variance of the fill volume for Machine 2.

a. What is the standard deviation of sampling distribution of the sample mean for Machine 1? b. Find a 95% confidence interval on the difference in means of the fill volume for the two machines. c. Find a 90% confidence interval on the variance of the fill volume for Machine 2.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

15. Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill
volume can be assumed normal. A random sample of 10 bottles is taken from the output of
each machine, and the fill volume readings of the bottles are as follows:
田
16.03
16.04
Machine 1
16.01
Machine 2
16.02
15.97
16.03
16.04
15.96
16.05
16.05
16.02
15.98
15.96
16.01
16.02
16.02
15.99
16.01
16.00
15.99
a. What is the standard deviation of sampling distribution of the sample mean for Machine
1?
b. Find a 95% confidence interval on the difference in means of the fill volume for the
two machines.
c. Find a 90% confidence interval on the variance of the fill volume for Machine 2.

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