Surface roughness of steel is investigated using Rz (a measure for surface roughness).Rz is measured for 21 random places on the surface of forged details and 21 random places on thesurface of casted details and the summary statistics are as follows:Sample meanSamplevarianceForge 95.81 101.06Cast 98.57 40.16Answer the following (use ? = 0.05 where needed):(a) Construct a 95% lower bound on the ratio of the variance of forged steel to casted details.(b) From the above confidence interval, is there evidence to support the claim that thesurface of forged steel has larger surface roughness variance than casted details?(c) Perform a hypothesis test to conclude if there is a difference between the meanroughnesses from the two samples. Use a test that is consistent with the conclusion frompart (b). (c) Perform a hypothesis test to conclude if there is a difference between the meanroughnesses from the two samples. Use a test that is consistent with the conclusion frompart (b). Question 3: Surface roughness of steel is investigated using Rz (a measure for surface roughness).Rz is measured for 21 random places on the surface of forged details and 21 random places on thesurface of casted details and the summary statistics are as follows:SamplevarianceSample mean101.06Forge95.8140.16Cast98.57Answer the following (use a = 0.05 where needed):(a) Construct a 95% lower bound on the ratio of the variance of forged steel to casted details.(b) From the above confidence interval, is there evidence to support the claim that thesurface of forged steel has larger surface roughness variance than casted details?

a) We need to construct the 95%95\% confidence interval for the ratio of the two population…

Answered: a) Construct a 95% lower bound on the…

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

Surface roughness of steel is investigated using Rz (a measure for surface roughness).
Rz is measured for 21 random places on the surface of forged details and 21 random places on the
surface of casted details and the summary statistics are as follows:
Sample mean
Sample
variance
Forge 95.81 101.06
Cast 98.57 40.16
Answer the following (use ? = 0.05 where needed):
(a) Construct a 95% lower bound on the ratio of the variance of forged steel to casted details.
(b) From the above confidence interval, is there evidence to support the claim that the
surface of forged steel has larger surface roughness variance than casted details?

(c) Perform a hypothesis test to conclude if there is a difference between the mean
roughnesses from the two samples. Use a test that is consistent with the conclusion from
part (b).

(c) Perform a hypothesis test to conclude if there is a difference between the mean
roughnesses from the two samples. Use a test that is consistent with the conclusion from
part (b).

Question 3: Surface roughness of steel is investigated using Rz (a measure for surface roughness).
Rz is measured for 21 random places on the surface of forged details and 21 random places on the
surface of casted details and the summary statistics are as follows:
Sample
variance
Sample mean
101.06
Forge
95.81
40.16
Cast
98.57
Answer the following (use a = 0.05 where needed):
(a) Construct a 95% lower bound on the ratio of the variance of forged steel to casted details.
(b) From the above confidence interval, is there evidence to support the claim that the
surface of forged steel has larger surface roughness variance than casted details?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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.

Similar questions