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# STAT 10-05-16

### Variables (Test 1)

TermDefinition
Test for independence association
Ho (null hypothesis) the two variables are independent (no association)
Ha (alternative hypothesis) the two variables are dependent (association)
Small p-value supports Ha (typically <= 0.05)
Large p-value supports Ho
Expected table contains values we'd expect to see if variables are independent
To get expected counts in the table, for each cell (Row total * Column total) / Table total
Chi-Squared test =CHISQ.TEST(actual range, expected range)
Minitab-->Graph-->Probability distribution plot Picture of distribution
Normal distribution symmetrical bell curve
The normal distribution stays continuous
The normal distribution is always positive
In the normal distribution, the probability of being any one specific value is zero
Calculating probabilities use technology
In the normal distribution, the probability of being in an interval is the area under the curve in that interval
~ is distributed as
N normal
First number in parentheses mean
Second number in parentheses variance
P probability
Calculating probability in minitab Graph-->Probability distribution-->Shaded area-->X-value
Excel random number generator rand()
P(0<x<1) probability x is between 0 and 1
Area of a line 0
Convert variance to standard deviation Variance = square root(standard deviation)
Suppose X~N(3, 16), P(x > 3.5) = 0.4503
Suppose X~N(3, 16), P(x > -2) = 0.8544
Suppose X~N(3, 16), P(-1 < x < 7) = 0.6827
Created by: Spencer Gowey