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 The upper bound is (Round to the nearest tenth as needed) ... h Data Table Specimen 1 2 3 4 Steel ball 50 57 61 71 Diamond. 52 56 61 5 68 74 69 6 54 56 68 7 8 9 65 51 53 51 56

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
The upper bound is
(Round to the nearest tenth as needed)
Data Table
Specimen 1 2 3 4
Steel ball 50 57 61
Diamond
5
68
71
52 56 61 74 69
6
54
56
7 8
65 51
68
9
53
51 56
0
Transcribed Image Text: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 The upper bound is (Round to the nearest tenth as needed) Data Table Specimen 1 2 3 4 Steel ball 50 57 61 Diamond 5 68 71 52 56 61 74 69 6 54 56 7 8 65 51 68 9 53 51 56 0
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