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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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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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