Question
Two answers required. The Jarque–Bera (“har-KAY BEAR-uh”) test statistic is a function of n and these two quantities. For 10 points each:
[10h] Name the third and fourth standardized moments of a distribution. A distribution may be “right” or “left” with respect to one of these quantities and “lepto” or “platy” with respect to the other.
ANSWER: skewness AND kurtosis [accept excess kurtosis in place of “kurtosis”; prompt on g or gamma in place of “skewness”]
[10m] Skewness measures the directional bias of these low-likelihood regions of a distribution, while kurtosis measures how “heavy” they are. Hypothesis tests may be named for using one or both of these regions to calculate p-values.
ANSWER: tails
[10e] Low tail area enables the rejection of this hypothesis, denoted H-sub-zero, that is contrasted with the alternative hypothesis.
ANSWER: null hypothesis
<David Bass, Science - Math> ~23207~ <Editor: David Bass>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 PACE NSC | 06/08/2024 | Y | 36 | 16.67 | 94% | 56% | 17% |