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Tabled Values of Common Distributions


To find the normal critical values proceed as follows. A critical value is the value of z such that the probability that a standard normal random variable is bigger than it is equal to alpha.

We proceed to enter the Alpha values in a new column of JMP:

The second column was calculated using the JMP calculator as follows:

To find the probability that a standard normal random variable is less than a given z proceed as follows.

Enter the values of z in a new column:

The second column was calculated using the JMP calculator as follows:

We can do the same type of calculations for the t, chi-square, and F distribution by selecting the appropriate entry in the probability function group.

For example, to find the F critical values for an F distribution with 5 d.f in the numerator and 10 d.f. in the denominator proceed as follows:

The second column was calculated using the JMP calculator as follows:

Compare these results with those in Table A.6 on Page 678 of your textbook.