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Solved: 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 Indente

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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.

Specimen   Steel ball   Diamond
1   51   53
2   57   55
3   61   63
4   71   74
5   68   69
6   54   55
7   65   68
8   51   51
9   53   56

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.)



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paired t test Sample #1 Sample #2 difference , Di =sample1-sample2 (Di - Dbar) 53 51 2 0.31 55 57 -2 11.86 63 61 2 0.31 74 71 3 2.42 69 68 1 0.20 55 54 1 0.20 68 65 3 2.42 51 51 0 2.09 56 53 3 2.42

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