z t and chi-square tables

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Page 1: z t and Chi-square Tables

Standard normal distribution table

Do not type or enter data in this area ! !

value of z

0.05% 0.05% 0.1% 99.9% ± 3.29

0.5% 0.5% 1.0% 99.0% ± 2.58

1.0% 1.0% 2.0% 98.0% ± 2.332.5% 2.5% 5.0% 95.0% ± 1.965.0% 5.0% 10.0% 90.0% ± 1.647.5% 7.5% 15.0% 85.0% ± 1.44

10.0% 10.0% 20.0% 80.0% ± 1.2815.0% 15.0% 30.0% 70.0% ± 1.0420.0% 20.0% 40.0% 60.0% ± 0.8425.0% 25.0% 50.0% 50.0% ± 0.67

IF YOU KNOW THE PROBABILITY, ENTER IT HERE

value of z

upper tail probability 1.0% + 2.33

lower tail probability 1.0% − 2.33

2-tail probability 5.0% ± 1.96

central probability 95.0% ± 1.96

upper tail probability

lower tail probability

2-tail probability

central probability

Enter probabilities

here:

Page 2: z t and Chi-square Tables

Prepared by William Lepowsky for the Laney College Math Department

INSTRUCTIONS:

IF YOU KNOW THE VALUE OF Z, ENTER IT HERE

(to the right of z) (from −z to z)

3 0.1% 0.3% 99.7%

Here are more detailed values of the probabilities:

0.134989803% 0.269979606% 99.73002039%

Enter values in the red outlined boxes that look like this:

Do NOT enter values in the purple boxes that look like this:

Enter the value of z here:

upper tail probability

central probability2-tail

probability

Page 3: z t and Chi-square Tables

Student's t-distribution table

Enter the number of degrees of freedom here: 15 = d.f.

Do not type or enter data in this area ! !

0.05% 0.05% 0.1% 99.9% ± 4.070.5% 0.5% 1.0% 99.0% ± 2.951.0% 1.0% 2.0% 98.0% ± 2.602.5% 2.5% 5.0% 95.0% ± 2.135.0% 5.0% 10.0% 90.0% ± 1.757.5% 7.5% 15.0% 85.0% ± 1.52

10.0% 10.0% 20.0% 80.0% ± 1.3415.0% 15.0% 30.0% 70.0% ± 1.0720.0% 20.0% 40.0% 60.0% ± 0.8725.0% 25.0% 50.0% 50.0% ± 0.69

IF YOU KNOW THE PROBABILITY, ENTER IT HERE

upper tail probability 6.0% + 1.65

lower tail probability 2.0% − 2.25

2-tail probability 1.3% ± 2.82

central probability 99.0% ± 2.95

upper tail probability

lower tail probability

2-tail probability

central probability

value of the t-statistic

Enter probabilities

here:value of the

t-statistic

Page 4: z t and Chi-square Tables

Prepared by William Lepowsky for the Laney College Math Department

Thank you for entering the number of degrees of freedom

INSTRUCTIONS:

IF YOU KNOW THE VALUE OF THE T-STATISTIC, ENTER IT HERE

2-tail probability(to the left of t) (from −t to t)

-3.1 0.4% 0.7% 99.3%

Here are more detailed values of the probabilities:

0.365861529% 0.731723057% 99.26827694%

Enter values in the red outlined boxes that look like this:

Do NOT enter values in the purple boxes that look like this:

Enter the value of the t-statistic

here:

lower tail probability

central probability

Page 5: z t and Chi-square Tables

Chi-square distribution table

Enter the number of degrees of freedom here: 6 = d.f.

Do not type or enter data in this area ! !

0.1% 22.46

0.5% 18.551.0% 16.812.5% 14.455.0% 12.59

10.0% 10.6415.0% 9.4520.0% 8.5625.0% 7.84

IF YOU KNOW THE PROBABILITY, ENTER IT HERE

10.0% 10.64

upper tail probability

value of the chi-square

statistic

Enter the upper tail

probability here:

value of the chi-square

statistic

Page 6: z t and Chi-square Tables

Prepared by William Lepowsky for the Laney College Math Department

Thank you for entering the number of degrees of freedom

INSTRUCTIONS:

IF YOU KNOW THE VALUE OF THE CHI-SQUARE STATISTIC, ENTER IT HERE

16.75 1.0%

Here is a more detailed value of the probability:

1.024730537%

Enter values in the red outlined boxes that look like this:

Do NOT enter values in the purple boxes that look like this:

Enter the value of the chi-

square statistic here:

upper tail probability