Term
| 2 requirements needed to test hypotheses regarding population mean assuming the population standard deviation is known |
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Definition
1. A simple random sample is obtained
2. The population from which the sample is drawn is normally distributed or n>=30 |
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Term
| 3 methods for testing hypotheses |
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Definition
1. Classical approach
2. P-value approach
3. Confidence intervals |
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Term
| Statistically significant |
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Definition
| When observed results are unlikely under the assumption that the null hypothesis is true |
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Term
| Classical approach of hypothesis testing |
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Definition
| If the sample mean is too many standard deviations from the mean stated in the null, we reject the null |
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Term
| P-value approach of hypothesis testing |
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Definition
| If the probability of getting a sample mean as extreme or more extreme than the one obtained is small, we reject the null |
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Term
| 2 requirements using classical and p-value approach |
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Definition
1. The sample is obtained using simple random sampling
2. The sample has no outliers and population is normally distributed or n >= 30 |
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Term
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Definition
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Term
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Definition
| Represents the number of standard deviations that the sample mean is from the assumed mean mew0 |
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Term
| The level of significance is used to determine |
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Definition
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Term
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Definition
| Represents the maximum number of standard deviations that the sample mean can be from mew0 before the null is rejected |
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Term
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Definition
| The set of all values such that the null is rejected |
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Term
| Critical region, two-tailed test |
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Definition
If z0<-z(alpha/2) or
z0>z(alpha/2)
then reject null |
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Term
| Critical region, left-tailed test |
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Definition
If z0<-zalpha
then reject null |
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Term
| Critical region, right-tailed test |
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Definition
If z0>zalpha
then reject null |
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Term
| Decision rule for classical approach |
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Definition
| The comparison of the test statistic and the critical value |
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Term
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Definition
| Minor departures from normality will not adversely affect the results of the test |
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Term
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Definition
| The probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the null is true |
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Term
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Definition
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Term
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Definition
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Term
| Decision rule for p-value approach |
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Definition
| The comparison of the p-value and the level of significance |
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Term
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Definition
| Small differences between the statistic and parameter stated in the null are statistically significant, the differences may not be large enough to cause concern or be considered important |
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