{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Statistics Homework Solutions 214

# Statistics Homework Solutions 214 - of freedom for the...

This preview shows page 1. Sign up to view the full content.

214 CHAPTER 9 Source DF SS MS F P Oil 3 1.0926 0.36420 5.1314 0.007 Ring 2 0.9340 0.46700 6.5798 0.005 Interaction 6 0.2485 0.041417 0.58354 0.740 Error 24 1.7034 0.070975 Total 35 3.9785 (f) Yes. F 6 24 0 58354, P 0 10 ( P 0 740). (g) No, some of the main effects of oil type are non-zero. F 3 24 5 1314, 0 001 P 0 01 ( P 0 007). (h) No, some of the main effects of piston ring type are non-zero. F 2 24 6 5798, 0 001 P 0 01 ( P 0 005). 3. (a) Let I be the number of levels of mold temperature, let J be the number of levels of alloy, and let K be the number of replications. Then I 5, J 3, and K 4. The number of degrees of freedom for mold temperature is I 1 4. The number of degrees of freedom for alloy is J 1 2. The number of degrees of freedom for interaction is I 1 J 1 8. The number of degrees of freedom for error is IJ K 1 45. The mean squares are found by dividing the sums of squares by their respective degrees of freedom. The F statistics are found by dividing each mean square by the mean square for error. The number of degrees
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: of freedom for the numerator of an F statistic is the number of degrees of freedom for its effect, and the number of degrees of freedom for the denominator is the number of degrees of freedom for error. P-values may be obtained from the F table, or from a computer software package. Source DF SS MS F P Mold Temp. 4 69738 17434.5 6.7724 0.000 Alloy 2 8958 4479.0 1.7399 0.187 Interaction 8 7275 909.38 0.35325 0.939 Error 45 115845 2574.3 Total 59 201816 (b) Yes. F 8 45 35325, P 10 ( P 939). (c) No, some of the main effects of mold temperature are non-zero. F 4 45 6 7724, P 001 ( P 0). (d) Yes. F 3 45 1 7399, P 10, ( P 187)....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online