Question

1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample t-test, Wilcoxon Matched Pairs Test, Spearman's Rank, Pearson Product Moment Test Comparison Normality Independent Other Samples? Data? Samples? assumptions? Type 2-sample t-test Means are for unequal var different S W 2-sample t-test for equal var(pooled)

only need 2-sample t-test for equal variance filled out

Answer 1

Test	Comparison test	Samples	Normality data?	Independent Samples?	Other assumptions
2 sample t-test for equal variance	1) Means of two sample are significantly different 2) Mean of first sample is less than second sample 3) Mean of first sample is greater than second sample	For small sample we can perform t- test i.e sample size 2<sample size<30	Yes	Sample should be independent	1) continuous data 2) Two sample are independent 3) Samples are simple random sample from their respective population.