The manufacturer of hardness testing equipment uses steel-ball indenters to pene
ID: 3364390 • Letter: T
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. There ore he manufacturer uses both ndenters on each specimen and compares he hardness readings. Construct a 95% confidence interva o udge whether the o 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 bar The 95% confidence interval to judge whether the two indenters result in different measurements is ( State the appropriate conclusion. Choose the correct answer below. O There is insufficient evidence to conclude that the two indenters produce different hardness readings. O There is sufficient evidence to conclude that the two indenters produce different hardness readings ). (Round to the nearest tenth as needed.) Data Table Specimen 1 2 3 45 6 7 89 Steelb51 57 61 71 68 54 65 51 53 iaond 53 55 63 74 69 56 68 51 56 Print DoneExplanation / Answer
The statistical software output for this problem is:
Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Diamond and Steel Ball
95% confidence interval results:
Hence,
95% confidence interval will be: (0.3, 2.8)
Conclusion: Option B is correct.
Difference Mean Std. Err. DF L. Limit U. Limit Diamond - Steel Ball 1.5555556 0.55555556 8 0.27444216 2.836669Related Questions
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