The manufacturer of hardness testing equipment usessteel-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 ofindenters, 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 a95% 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.

QUESTION 1: Construct a95% confidence interval to judge whether the two indenters result in differentmeasurements, where the differences are computed as'diamond minus steelball'.

DATA:

Specimen Steel ball Diamond

1 51 53

2 57 55

3 61 63

4 71 74

5 68 69

6 54 56

7 65 68

8 51 51

9 53 56

There is a second part to this question but I have to input this answer to get the next question, if you could wait for me to get the next question :)