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14 Cards in this Set
- Front
- Back
calculate the Z score when the sample mean is equal to 310, the population means 266, and the sigma is 16. |
-2.75 |
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what are the two types of hypothesis? explain the notation for each |
null hypothesis: Ho: u = 6 or Ho: u > 0 alternative hypothesis or two sided hypothesis H1) u (not equal to) 6 two sided because the answer can now be above or below 6. |
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what are the four steps to determining the hypothesizes validity? |
1: specific the null and its alternative 2: compute the sample mean and variance 3: use the estimates to construct a new statistic. "when the null hypothesis is true" or "under the null" 4: evaluate whether the calculated value of the test is likely when the null hypothesis is true. |
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we do not reject the null hypothesis if the value of the test statistic is BLANK |
likely |
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we never accept the BLANK |
null hypothesis |
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what are the three steps for a t-test? |
1) form the null and alternative hypothesis 2) use the sample data to construct a test statistic that has a known sampling distribution when the null hypothesis is true. 3) decide whether to reject the null or not when the value of the test statistic that we observe is likely or not under the null. |
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what are the two types of errors in hypothesis testing? |
type 1: erroneously reject the null when true type 2: fail to reject the null when false |
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what letter is used the represent type 1 errors? type 2? |
1: use alpha 2: use 1 minus theta |
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there is a trade off between BLANK and BLANK. In the example in class, he compared it to 2 prisoners determining if they want to confess. This is similer to BLANK |
Alpha and Beta. That is as Alpha gets bigger Beta gets smaller. Nash equilibrium. |
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construct this T statistic. Survey of 121 ppl, sample mean of 7.5, sample variance of 75, population mean of 9. solve for alpha = 0.10 |
1.658 |
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GO OVER SLIDE 21 |
GO OVER SLIDE 21 |
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what is the P-value? it is also the probability of what? |
tail probability of the sampling distribution W or the probability of observing a value of W that is more extreme than w. |
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what is an interval estimator? |
an interval that contains a population parameter with a known probability. |
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DOne |
DONE |