Question

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'. The lower bound is The upper bound is (Round to the nearest tenth as needed.) State the appropriate conclusion. Choose the correct answer below. There is insufficient evidence to conclude that the two indenters produce different hardness readings. There is sufficient evidence to conclude that the two indenters produce different hardness readings.

Answer 1

3 O 3 2 Zoyz X 24/2 2 > 2.8 Difference - a - 2 2 u 1 2 X 1.67 6. - 1.67 Mon 19b qasr confiance internal x + 2412 8 co 0.57 89 20758 lower bound %754 023 0.6 upper bound a 2476186 and option there is sufficient evidence to conclude that the two identors produce different hardness readings mia 200 X 2 23.7 X2 216.5 2 1.645 6, 2 3.9 22.5. @aoy confidence internal <M-M2 SX - 7₂ + 2x12 m2 = 200 2x12 62 2 ne xi-X2 - 2012 ni 2 6,661 SM, M₂ < 7.739 Interpretation B the researchers are 90% confident that the difference of the B Since the 90% confidence interval does not contain zero, the result suggest that priming does have an effect on scores