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AP Statistics Conditions for Inference
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Conditions for Significence Tests and Confidence Intervals
Key Concepts:
Terms in this set (10)
One Sample T-Test (for mean)
1. σ is unknown
2. SRS
3. observations have a normal distribution
or
n is large (>30)
4. individuals are independent
Two Sample T-Test (for mean)
1. both σs are unknown
2. two independent SRSs
3. populations are normal
or
n1 & n2 is large (>30)
One Sample Z-Test for a Proportion
1. SRS
2. population ≥10n
3. np>10
n(1-p)>10
4. Independence
Two Sample Z-Test for Proportions
1. SRSs
2. independent samples
3. n1 p1 > 10
n1(1-p1)>10
n2 p2>10
n2(1-p2)>10
4. n1<1/10population
n2<1/10population
Regression Inference
1. x and y are linearly related
2. consistent scatter about the regression line
3. residuals are normally distributed
4. data pairs are independent
Chi-Squared Test
1. SRS(s)
2. expected counts >5
3. n<10% of population
T Confidence Interval for Mean
1. σ is unknown
2. SRS
3. population is normal
or
n is large (≥30)
4. Independence
Z Confidence Interval for Population Proportion
1. SRS
2. population ≥10n
3. n p > 10
n(1-p) > 10
4. Independence
Z Confidence Interval for Difference of Population Proportions
1. SRS(s)
2. population >10n
3. independent samples
4. n1 p1 >10
n1(1-p1)> 10
n2 p2 >10
n2(1-p2)> 10
Confidence Interval for Regression of Line Slopes
1.SRS
2. relationship between x and y is linear
3. data pairs are independent
4. residuals are normally distributed
5. scatter about the regression line is consistent
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