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Stats Midterm 2
| Question | Answer |
|---|---|
| What is the law of large numbers? | Sample mean approaches average with increased trials |
| What is central limit theorem? | Increasing sample size approaches normal distribution |
| What is the advantage of transforming x into z-scores? | Allows direct comparison |
| What is formula for standard error of the mean? | σ / √n |
| What statistic is bias? | Sample range |
| What is the expected mean? | Equivalent to the population mean |
| What is the formula for the expected mean? | E(M) |
| When calculating probability, what does "this score or that score" indicate? | Add the two scores |
| When calculating probability, what does "this score and that score" indicate? | Multiply the two scores |
| What is the first step in a z-test? | State the hypothesis |
| What is the second step in a z-test? | Set criteria for making a decision (draw the graph) |
| What is the third step in a z-test? | Calculate the test statistic (write the equation) |
| What is the third step in a z-test? | Make a decision (write your reject/retain statement) |
| What does p symbolize in live or die problems? | Percentage of success |
| What does q symbolize in live or die problems? | Percentage of failure |
| What is the formula for calculating standard deviation in a binomial? | √npq |
| What is the formula for Z when given population parameters? | Z=(X-μ)/σ |
| What is the formula for X when given population parameters? | X=μ+σz |
| What is the formula for Z when given parameters and statistics? | Z=(M-μ)/(σ /√n) |
| What are the four ways a distribution can be described? | Central tendency (mean, median, mode), variability (variance, std, deviation), skewness, kurtosis |
| What percentage is within 1 standard deviation of a mean? | 68.26% |
| What percentage is within 2 standard deviations of a mean? | 95.44% |
| What is the answer format for percentile rank? | PR(#) = % |
| What is the formula for probability of an event occurring? | Number of outcomes that lead to event / total number of possible outcomes |
| What happens as the number of trials in a binomial distribution exceeds 10? | Begins to resemble normal distribution |
| What happens as the number of trials in a binomial distribution is exceeds 30? | It becomes a normal distribution |
| How do you calculate confidence intervals? | μ+(-zcrit)(σ) < x < μ+(zcrit)(σ) |
| What is a type 1 error (alpha)? | Null is true, reject null |
| What is a type 2 error (beta)? | Null is false, retain null |
| What happens when null is true and the null is rejected? | Type 1 error (alpha) |
| What happens when null is true and null is retained? | Correct decision (1-alpha) |
| What happens when null is false and null is rejected? | Correct decision (1-beta) |
| What happens when null is false and null is retained? | Type 2 error (beta) |
Created by:
juangon
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