what condition we will use wilcoxon sign test
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If the raw math scores are available for all of the students then you could probably apply a t test to the results. Alternatively you could use a Wilcoxon rank sum test. The difficulty you face is that, without a measure of the variability in the scores you cannot be sure that the difference in the means is due to actual difference or just variability. To get that measure you need th raw scores.
You use a z test when you are testing a hypothesis that is using proportions You use a t test when you are testing a hypothesis that is using means
Yes.For some tests, such as the Fisher F-test, the test statistic is an estimate of the variance. If the alpha level was not affected, the test would be no use at all!Yes.For some tests, such as the Fisher F-test, the test statistic is an estimate of the variance. If the alpha level was not affected, the test would be no use at all!Yes.For some tests, such as the Fisher F-test, the test statistic is an estimate of the variance. If the alpha level was not affected, the test would be no use at all!Yes.For some tests, such as the Fisher F-test, the test statistic is an estimate of the variance. If the alpha level was not affected, the test would be no use at all!
Mean, variance, t-statistic, z-score, chi-squared statistic, F-statistic, Mann-Whitney U, Wilcoxon W, Pearson's correlation and so on.
Use a symbolically pattern to pass the test.