Question

9 of 14 (14 complete) HW Score: 60.51%, 12.1 of 20 pts Score: 0 of 1 pt atistic: X 11.2.13 A Question Help uired) 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. 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'. i Data Table Х The lower bound is The upper bound is (Round to the nearest tenth as needed.) - 3 4 5 6 7 8 9 Specimen 1 1 2 Steel ball 50 57 Diamond 52 56 61 71 68 54 65 51 Incorrect: 3 53 61 74 69 56 68 51 56 Print Done Enter your answer in the edit fields and then click Check Answer. ?

Answer 1

d2 2 d=x-y 2 4 -1 1 0 0 3 9 х y 52 50 56 57 61 61 74 71 69 68 56 54 68 65 51 51 56 53 Total 1 4 E|ئر | بيا || نا 9 0 9 37 13 Here n= 9 d 1.4 n 1 S4= (gd (Ed)? 1.509231 n-1 n

Significance Level = a = 0.05 Critical value=t* = 2.306 1.160098 Sd Standard Error = = 0.503077 Vn Sd Margin of Error =** Vn Lower Limit = d– (Margin of Error) = 0.3 Upper Limit = d +(Margin of Error) = 2.6