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Variable for a population |
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an individual observation for variable X |
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Population mean of variable X |
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mean of the random sample of variable X |
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mean of sampling distribution of xbar |
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Standard deviation of the true distribution of a population |
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Standard deviation of the variable X in a random sample |
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Standard deviation of the sampling distribution of the sample mean |
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mean for the null hypothesis |
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When assuming that Ho is true, this is the probability that the test statistic would take a value as extreme or more extreme than that actually observed. |
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The chosen significance level; it is also the probability of making a type I error |
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1-alpha; the probability of making a type II error |
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standardized variable of a standard normal distribution |
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test statistic; estimate-hypothesized/standard deviation |
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critical value of a Normal distribution at significance level alpha |
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the sample variance of the variable X |
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mean of sampling distribution of sX2 |
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the variance of the distribution of variableX= Sum(xi-mux)2pi |
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To determine the needed sample size n: |
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-need to know stdev x,
-need to choose alpha,
-need to know width of CI |
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If a margin of error is too large: |
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-Use a lower level of confidence (smaller C),
-increase the sample size (larger n),
-reduce sigma |
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sample size for a desired margin of error, n= |
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The smaller the p-value... |
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the stronger the evidence against the null provided by the data |
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1. know sigmax, 2. choose alpha, 3. desired power, 4. choose null hypothesis |
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