Homework help 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 betested. 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 canbe 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.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 isThe upper bound is(Round to the nearest tenth as needed.)Data tableSpecimen124789.Steel ball505761706854655153Diamond525563746955685156PrintDor

Calculation: Critical values: Using the t-table, the critical value of t at 5% level of significance for two tailed test is t0.05/2=2.306 The 95% confidence interval for population mean difference is Thus, 95% confidence interval for population mean difference is 0.2 and 2.9. The lower bound is, 0.2 The upper bound is, 2.9