The manufacturer of hardness testing equipment uses steel-ball indenters to penetra metal that is being tested. However, the manufacturer thinks it would be better to use diamond indenter so that all types of metal can be tested. Because of differences betwe the two types of indenters, it is suspected that the two methods will produce differe hardness readings. The metal specimens to be tested are large enough so that tv indentions can be made. Therefore, the manufacturer uses both indenters on eae specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in differe measurements. Specimen 1 2 4 5 6 7 8 9. Steel ball 50 57 61 70 68 54 65 51 53 Diamond 52 55 63 74 69 55 68 51 56 Note: A normal probability plot and boxplot of the data indicate that the differences a approximately normally distributed with no outliers. Upper bound: Lower bound: State a conclusion:

The manufacturer of hardness testing equipment uses steel-ball indenters to penetra metal that is being tested. However, the manufacturer thinks it would be better to use diamond indenter so that all types of metal can be tested. Because of differences betwe the two types of indenters, it is suspected that the two methods will produce differe hardness readings. The metal specimens to be tested are large enough so that tv indentions can be made. Therefore, the manufacturer uses both indenters on eae specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in differe measurements. Specimen 1 2 4 5 6 7 8 9. Steel ball 50 57 61 70 68 54 65 51 53 Diamond 52 55 63 74 69 55 68 51 56 Note: A normal probability plot and boxplot of the data indicate that the differences a approximately normally distributed with no outliers. Upper bound: Lower bound: State a conclusion:

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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.
Specimen
1 2 3
4 5
6 7
8
9.
Steel ball
50
57
61
70
68
54
65
51
53
Diamond
52
55 63 74
69
55
68
51
56
Note: A normal probability plot and boxplot of the data indicate that the differences are
approximately normally distributed with no outliers.
Upper bound:
Lower bound:
State a conclusion:

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