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 ypes of metal can be tested

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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 ypes 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 speciments 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 resul in different measurements. Note: A normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers.

Specimen Steel ball Diamond

1 51 53

2 57 55

3 61 63

4 70 74

5 68 69

6 54 56

7 65 68

8 51 51

9 53 56

-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 95% confidence interval to judge whether the two indeners result in different measurements is?