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 ested. 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 e 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. E 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.) State the appropriate conclusion. Choose the correct answer below. Data table O There is insufficient evidence to conclude that the two indenters produce different hardness readings. O There is sufficient evidence to conclude that the two indenters produce different hardness readings. Specimen 1 3 4 6 7 9 Steel ball 51 57 61 70 68 54 65 51 53 Diamond 53 55 63 74 69 56 68 51 56 Print Done
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 ested. 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 e 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. E 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.) State the appropriate conclusion. Choose the correct answer below. Data table O There is insufficient evidence to conclude that the two indenters produce different hardness readings. O There is sufficient evidence to conclude that the two indenters produce different hardness readings. Specimen 1 3 4 6 7 9 Steel ball 51 57 61 70 68 54 65 51 53 Diamond 53 55 63 74 69 56 68 51 56 Print Done
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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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.)
State the appropriate conclusion. Choose the correct answer below.
Data table
There is insufficient evidence to conclude that the two indenters produce different hardness readings.
O There is sufficient evidence to conclude that the two indenters produce different hardness readings.
Specimen
1
2
6
7
8
9.
Steel ball
51
57
61
70
68
54
65
51
53
Diamond
53
55
63
74
69
56
68
51
56
Print
Done
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