Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond minus steel ball'. The lower bound is Data Table The upper bound is (Round to the nearest tenth as needed.)

Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond minus steel ball'. The lower bound is Data Table The upper bound is (Round to the nearest tenth as needed.)

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

The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better
to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will
produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both
indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different
measurements.
Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Click the icon to view the data table.
Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond minus steel
ball'.
The lower bound is
Data Table
The
upper
bound is
(Round to the nearest tenth as needed.)
Specimen
1
2
3
4
6.
7
8.
9.
Steel ball
50
57
61
71
68
54
65
51
53
Diamond
52
55
63
74
69
55
68
51
56

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