Question

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If this data was entered into R Studio (statistic software), using a particular data = c(enter data above here), how would I show that all the conditions required to use T distributions have been met?

what is the difference between one-sample T test and a two-sample T test? what conditions have to be met?

Answer 1

If we entered this data is in R studio then we can observed the following requirements to use T distribution.

1. Sample size is small (using length command in R)

2. Sample standard deviation is unknown (using sd command to find )

3. To check normality condition (using Shapiro.test)

The difference between one sample and two sample is In one sample we have performed test using one group and in two sample we have use two groups. The conditions are same for both the test(above 1-3)