Answer the following statistics question. (image shown) 4. Losen, Cahoy, and Lew

Question

Answer the following statistics question. (image shown)

4. Losen, Cahoy, and Lewis purchased eight spanner bushings of a particular type from a local machine shop and measured a number of characteristics of these bushings, including their outside diameters. Each of the eight outside diameters was measured once by two student technicians, with the follow- ing results. (The units are inches.) Considering both students’ measurements, what type of data are given here? Explain. Bushing 1 2 3 4 Student A .3690 .3690 .3690 .3700 Student B .3690 .3695.3695.3695 Bushing Student A .3695 .3700 .3695 .3690 Student B .3695 .3700 .3700 .3690

Explanation / Answer

Outside diameter of the bushing is a continuous numerical data.

Here, the continuous numerical data is a measured value of the outside diameter of bushing. Outside diameter of the bushing is measured in an interval that has four decimal points. Each decimal point has a continuum, or an interval ranging from 0 to 9. If the measuring instrument has a precision level more 4 decimal points, the fifth decimal point will be any value within the continuum or interval. But the outside diameter of the bushing is rounded off to 4 decimal points.

This is a typical statistical model used to compare the mean values of the two different independent measurements to ensure that if there is a systematic bias due to student A to student B' skill level in the measurement process or method used to measure the outside diameter of the bushings . The model is used to test whether there is any difference between the mean value of the measurements done by student A compared to Student B.

Statistical model to compare the two means Bushing Stundent A Student B 1 0.3690 0.3690 2 0.3690 0.3695 3 0.3690 0.3695 4 0.3700 0.3695 5 0.3695 0.3695 6 0.3700 0.3700 7 0.3695 0.3700 8 0.3690 0.3690

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