Introduction to Probability and Statistics for Engineers and Scientists

Problems 539

Patient N Before Treatment After Treatment

10 4.77 4.50

11 4.85 4.85

12 5.24 4.56

aValues given in grams per 100 ml.

Is the effect of the medicine significant at the 5 percent level?

(a) Use the sign test.

(b) Use the signed rank test.

9. An engineer claims that painting the exterior of a particular aircraft affects its
   cruising speed. To check this, the next 10 aircraft off the assembly line were flown
   to determine cruising speed prior to painting, and were then painted and reflown.
   The following data resulted.

Cruising Speed (knots)

Aircraft Not Painted Painted

1 426.1 416.7

2 418.4 403.2

3 424.4 420.1

4 438.5 431.0

5 440.6 432.6

6 421.8 404.2

7 412.2 398.3

8 409.8 405.4

9 427.5 422.8

10 441.2 444.8

Do the data uphold the engineer’s claim?

10.Ten pairs of duplicate spectrochemical determinations for nickel are presented

below. Thereadingsincolumn2weretakenwithonetypeofmeasuringinstrument

and those in column 3 were taken with another type.

Sample Duplicates

1 1.94 2.00

2 1.99 2.09

3 1.98 1.95

4 2.07 2.03

5 2.03 2.08

(continued)