lecture7

# lecture7 - Review Probability basics Probably and the...

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Review Probability basics Probably and the normal distribution 1. What is sampling error? How do you prevent it? 2. What are the two branches of statistics? 3. What is a percentile? 4. What are the different measures of variability? 5. What does the standard deviation represent conceptually? Condition 1: No Instruction Condition 2: Instruction ± = 120 s ± = 10 s 30 s Given these population parameters, how likely is it to get a detection time of 30s?

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For any situation with multiple outcomes, the probability for any outcome can be expressed as a proportion or fraction of the total number of outcomes. e.g., What is the probability of a Z in the English alphabet. Probability of Z = N of outcomes that are Z N of possible outcomes Probability of Z = 1 26 Fair Coin n outcomes = 2 (heads, tails) Fair Dice n outcomes = 6 (1-6) Fair Deck of Cards n outcomes = 52 Probability of 6 = 1 6 Probability of Ace = 4 52
What is the probability of getting heads when tossing a fair coin? p ( heads ) = 1 2 = 0.5 = 50% Fraction Proportion Percentage Convention: probability=proportion, but all 3 OK Accurate estimates of probability based on our de nition require random sampling Random sampling is a process that involves selecting from a pool of outcomes

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