Appendix 4 Tables

Areas in Normal Distribution

 

Areas corresponding to selected z scores in normal distribution.

 

Z

Area

-

.000

-3.00

.001

-2.33

.01

-2.00

.02

-1.64

.05

-1.28

.10

-1.00

.16

-.84

.20

-.52

.30

-.25

.40

.00

.50

.25

.60

.52

.70

.84

.80

1.00

.84

1.28

.90

1.64

.95

2.00

.98

2.33

.99

3.00

.999

+

1.00

 

The t -Distribution

 

Values of the t and t2 corresponding to the five percent area of the t-distribution for selected degrees of freedom (one-tailed test).

For infinitely large degrees of freedom, t equals z. The t distribution is related to the standard normal distribution as

 

t

t2 

1

6.31

39.87

2

2.92

8.53

3

2.35

5.54

4

2.13

4.54

5

2.02

4.06

6

1.94

3.78

7

1.90

3.59

8

1.86

3.46

9

1.83

3.36

10

1.81

3.28

15

1.75

3.07

20

1.72

2.97

30

1.70

2.88

40

1.68

2.84

60

1.67

2.79

120

1.66

2.75

1.64

2.71

 

 

 

The F Distribution

 

Values of F for selected degrees of freedom at the five percent level of significance. For one degree of freedom, F equals t2. The F distribution is related to the t distribution as

 

1

2

3

1

39.87

49.5

53.6

63.3

2

8.53

9.00

9.16

9.49

3

5.54

5.46

5.39

5.13

4

4.54

4.32

4.19

3.76

5

4.06

3.78

3.62

3.11

6

3.78

3.46

3.29

2.72

7

3.59

3.26

3.07

2.47

8

3.46

3.11

2.92

2.29

9

3.36

3.01

2.81

2.16

10

3.28

2.92

2.73

2.06

15

3.07

2.70

2.49

1.76

20

2.97

2.59

2.38

1.61

30

2.88

2.49

2.28

1.49

40

2.84

2.44

2.23

1.38

60

2.79

2.39

2.18

1.29

120

2.75

2.35

2.13

1.19

2.71

2.30

2.08

1.00

 

 

 

The Chi Square Distribution (p = .05)

 

For one degree of freedom, chi-square equals z-square. For infinite number of degrees of freedom, chi-square, divided by the degrees of freedom, equals F with both of its degrees of freedom equal to infinity.

The F distribution is related to the chi square distribution as

 

 

 

 

1

3.841

3

7.815

5

11.07

10

18.307

20

31.410

30

43.773

40

55.759

50

67.505