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. 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. There is sufficient evidence to conclude that the two indenters produce different hardness readings. There is insufficient evidence to conclude that the two indenters produce different hardness readings.

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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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.
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.
There is sufficient evidence to conclude that the two indenters produce different hardness readings.
There is insufficient 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 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. 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. There is sufficient evidence to conclude that the two indenters produce different hardness readings. There is insufficient evidence to conclude that the two indenters produce different hardness readings.
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.
E Click the icon to view the data table.
1 Data Table
Construct a 95% confidence interval to judge whether the t
nd minus steel ball'.
The lower bound is
The upper bound is
(Round to the nearest tenth as needed.)
Specimen
1
2
3
5
7
8
9
State the appropriate conclusion. Choose the correct answ
Steel ball
51
57
61
71
68
54
65
51
53
Diamond
53
56
61
74
69
56
68
51
56
There is sufficient evidence to conclude that the two
There is insufficient evidence to conclude that the two
Print
Done
Click to select your answer(s).
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. E Click the icon to view the data table. 1 Data Table Construct a 95% confidence interval to judge whether the t nd minus steel ball'. The lower bound is The upper bound is (Round to the nearest tenth as needed.) Specimen 1 2 3 5 7 8 9 State the appropriate conclusion. Choose the correct answ Steel ball 51 57 61 71 68 54 65 51 53 Diamond 53 56 61 74 69 56 68 51 56 There is sufficient evidence to conclude that the two There is insufficient evidence to conclude that the two Print Done Click to select your answer(s).
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