Show transcribed image text 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. Bccause 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. 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 95% confidence interval to judge whether the two indenters result in different measurements is ). (Round to the nearest tenth as needed.) State the appropriate conclusion. Choose the correct answer below. O There is sufficient evidence to conclude that the two indenters produce different hardness O There is insufficient evidence to conclude that the two indenters produce different hardness readings readings. Data Table Specimen 12 3 45 6 7 8 9 Steel ball 50 57 61 70 68 54 65 51 53 Diamond 52 55 63 74 69 56 68 5 56
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. Bccause 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. 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 95% confidence interval to judge whether the two indenters result in different measurements is ). (Round to the nearest tenth as needed.) State the appropriate conclusion. Choose the correct answer below. O There is sufficient evidence to conclude that the two indenters produce different hardness O There is insufficient evidence to conclude that the two indenters produce different hardness readings readings. Data Table Specimen 12 3 45 6 7 8 9 Steel ball 50 57 61 70 68 54 65 51 53 Diamond 52 55 63 74 69 56 68 5 56
