STATISTICAL TABLES 1 TABLE A.1 Cumulative Standardized Normal Distribution A(z) is the integral of the standardized normal distribution from −∞to z (in other words, the area under the curve to the left of z). It gives the probability of a normal random variable not being more than z standard deviations above its mean.

Statistical Distribution Tables. z, t, and chi-square distributions. Bring tables with you to all exams. 1. Figure 1: Z distribution1 2. Figure 2: Z distribution2 3. Figure 3: t distribution 4. Figure 4:χ2distribution 5.

Table A A Standard Normal Distribution Numerical entries represent the probability that a standard normal random variable is between -∞ and z where z x = −µ σ. z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00-3.4 0.0002 0.0003 0.0003 …

AP Statistics 2020 Formulas and Tables Sheet *S tandard deviation is a measurement of variability from the theoretical population. Standard error is the estimate of the standard deviation.

Two Sample Confidence Intervals and Tests of Hypotheses Difference of Proportions ( )pp 12− 12 12 12 11 2 2 /2 12 1 1 1 2 2 2 1 12 2 12 12 12 Confidence Interval:

Statistical Table 7.1Critical one- and two-tailed values of x for a Sign test, where x = the number of cases with the less frequent sign and N is the total number of positive and negative differences between pairs of scores, i.e., ties are not counted.

TABLES Table A Standard Normal Probabilities Table B Random Digits Table C Binomial Probabilities Table D t Distribution Critical Values Table E F Distribution Critical Values Table F x2 Distribution Critical Values Tables 20_Moore_13387_Tables_01-20.indd 1 19/08/16 2:22 PM. T-2 Tables Probability z

These tables give values x such that a certain percentage of the distribution lies less than x. E.g. if X t3, then (X 5:84) = 0:995, and ( 5:84 X 5:84) = 0:99. If. X F8;5, then (X 4:82) = 0:95. The tables can be used to conduct various hypothesis tests with sizes 0.01, 0.05 and 0.10.

TABLE A: Normal curve tail probabilities. Standard normal probability in right-hand tail (for Standard normal probability in right-hand tail (for negative values of z , probabilities are found by symmetry).

α is the proportion of values in a chi-squared distribution with ν degrees of freedom which exceed the tabled value. For example, 20% of the values in a chi-squared distribution with 1 degree of freedom exceed 1.64.