K 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. BEE 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. O 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. Data Table Specimen 1 2 3 4 5 6 7 8 9 Steel ball Diamond 51 57 61 70 68 54 65 51 53 53 56 61 74 69 56 68 51 56 Print Done x Next

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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K
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.
BEE 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.
O 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.
Data Table
Specimen 1 2 3
4
5
6
7
8
9
Steel ball
Diamond
51 57 61
70
68
54
65
51 53
53
56 61
74
69
56
68
51
56
Print
Done
x
Next
Transcribed Image Text:K 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. BEE 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. O 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. Data Table Specimen 1 2 3 4 5 6 7 8 9 Steel ball Diamond 51 57 61 70 68 54 65 51 53 53 56 61 74 69 56 68 51 56 Print Done x Next
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