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idence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond minus steel ball'. tenth as needed.) Data table conclusion. Choose the correct answer below. ent evidence to conclude that the two indenters produce different hardness readings. Specimen 1 2 3 5 6 7 4 8 nt evidence to conclude that the two indenters produce different hardness readings. Steel ball 51 57 61 70 68 54 65 51 Diamond 53 55 63 74 69 56 68 51 Print Done

idence interval to judge whether the two indenters result in different measurements, where the differences are computed as 'diamond minus steel ball'. tenth as needed.) Data table conclusion. Choose the correct answer below. ent evidence to conclude that the two indenters produce different hardness readings. Specimen 1 2 3 5 6 7 4 8 nt evidence to conclude that the two indenters produce different hardness readings. Steel ball 51 57 61 70 68 54 65 51 Diamond 53 55 63 74 69 56 68 51 Print Done

MATLAB: An Introduction with Applications
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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The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate the 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 indentations 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. ### Data Table | Specimen | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |----------|----|----|----|----|----|----|----|----| | Steel ball | 51 | 57 | 61 | 70 | 68 | 64 | 65 | 53 | | Diamond | 53 | 55 | 63 | 74 | 69 | 56 | 68 | 51 | **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 [ ]. - The upper bound is [ ]. (Round to the nearest tenth as needed.) **State the appropriate conclusion. Choose the correct answer below.** - There is insufficient evidence to conclude that the two indenters produce different hardness readings. - There is sufficient evidence to conclude that the two indenters produce different hardness readings.
Transcribed Image Text:The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate the 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 indentations 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. ### Data Table | Specimen | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |----------|----|----|----|----|----|----|----|----| | Steel ball | 51 | 57 | 61 | 70 | 68 | 64 | 65 | 53 | | Diamond | 53 | 55 | 63 | 74 | 69 | 56 | 68 | 51 | **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 [ ]. - The upper bound is [ ]. (Round to the nearest tenth as needed.) **State the appropriate conclusion. Choose the correct answer below.** - There is insufficient evidence to conclude that the two indenters produce different hardness readings. - There is sufficient evidence to conclude that the two indenters produce different hardness readings.
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