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a small mean difference and large sample variances

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Q: What set of sample characteristics is most likely to produce a significant t statistic?
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Continue Learning about Other Math

What are attributes in Math?

A dose attribute is likely to mean the characteristics or effects of a measured amount of a medicine. It may be used in efficacy of toxicity testing.


What is test statistic Why do you have to know the distribution of a test statistic?

Suppose you have a theory about some random variable and you want to check if your theory is correct. You take some observations and summarise them using a test statistic. This may be their mean, maximum, a measure of spread - whatever. You want to check if the result that you got is consistent with your theory. You face a problem, though. Because the variable has a random element to it, it is always possible that the result that you got was pure chance. So you work out what the probability distribution of that test statistics would be IF your theory (hypothesis) were true. You use this distribution and the value of your test statistic to decide how likely your result was if your hypothesis were true. If that probability is very small, you conclude that your theory is not reasonable and you reject your hypothesis. Otherwise, you continue with the assumption that your theory is not unreasonable.


What number is significant for a z-score in statistics?

It depends on where you have set your alpha. To be significant at an alpha of .05 (typical), the z-score must exceed 1.96. Here, we are accepting a 5% error rate. To be significant at an alpha of .01 (more stringent/restrictive/conservative), the z-score must exceed 2.58. At an alpha of .01, you are only accepting a 1% error rate. If you are doing multiple tests of significance, you'll likely want to use this more conservative alpha (or do a "Bonferroni correction," dividing .05 by the actual number of significance tests you perform). Hope this helps!


Is less likely an adverb?

No. In the pair, likely is an adjective, and less is an adverb. Likely by itself can be an adverb, as in they'll likely fail.


What is the reason of a null hypothesis being rejected?

W The test statistic is is the critical region or it exceeds the critical level. What this means is that there is a very low probability (less than the critical level) that the test statistics could have attained a value as extreme (or more extreme) if the null hypothesis were true. In simpler terms, if the null hypothesis were true you are very, very unlikely to get such an extreme value for the test statistic. And although it is possible that this happened purely by chance, it is more likely that the null hypothesis was wrong and so you reject it.

Related questions

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?

To know which combination of factors is most likely to produce a significant value it is important to know what the factors are. Without knowing what factors there are to choose from it is hard to know what the answer is.


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The likely word is the adjective significant(meaningful).Another possibility is scientific (related to science).


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