Applied Statistics and Probability for Engineers

13-8

0.01 1.5 2 2.5 3 3.5 (for

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

φ α= 0.05)

2345

1.00

Probability of accepting the hypothesis

φ(forα= 0.01)

ν 1 = 1

α α

9

10

12

∞

∞

0.01 1 2 3 (for

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

φ α= 0.05)

1345

1.00

Probability of accepting the hypothesis

φ(forα= 0.01)

ν 1 = 2

2

ν 2 = 6

60

20

15

7

ν 1 = numerator degrees of freedom. ν 2 = denominator degrees of freedom.

= 0.05 = 0.01

ν = 6

7

8

9

10

12

15

20

30

60

6 = ν 2

15

20

30

60

7

8

30

12

10

9

8

∞

α = 0.05

α = 0.01

2

Source: These curves are adapted with permission from Biometrika Tables for Statisticians,Vol.

2, by E. S. Pearson and H. O. Hartley, Cambridge University Press, Cambridge, 1972.

PQ220 6234F.Ch 13_CD 5/8/02 7:54 PM Page 8 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:PQ220 MONT 8/5/2002:Ch 13: