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Practice Quiz 3 Answers 1. T is 30 2. z = .3333 proportion is .6293 Note: we can solve this problem because we know that intelligence has a normal distribution. 3. Standard error of the mean 4. Sampling distribution should have the following properties - be roughly normal in shape - X axis labeled mean IQ - Y axis labeled p or probability - mean of 105 - standard deviation of 1.5 (15 / sqrt(100) = 15 / 10 = 1.5) 5. Ho: Mu = 100 sigma x-bar = 15 / sqrt(225) = 15 / 15 = 1 z = (102 – 100) / 1 = 2 p = .0228 p < alpha so Reject 6. P(Ho is true | Reject Ho) = cannot be determined P(Retain Ho | Ho true) = 1 - alpha P(Type 1 error) = cannot be determined 7. If alpha increases, beta decreases 8. If p is less than alpha, we reject Ho 9. The symbol for power is 1 – beta (written in greek) 10. p is the P(getting results like these or even more extreme than these given that Ho is true)