Complete a one-sample [latex]t[/latex]-test for means from hypotheses to conclusions.
Test Statistic ([latex]t[/latex])
Let’s revisit the “plastics” data set used previously in this class. Recall that this data set is a sample of plastic products collected by community volunteers in countries around the world during a brand audit to see what types of plastics are found in waste and which companies the plastics found came from.
Although calculating the [latex]t[/latex]-statistic is just a matter of inputting the correct value into the formula and using a calculator, our statistical tool can calculate the value for you. Furthermore, it will calculate the P-value for us, which we can use to make a conclusion to answer the research question.
However, if you would like, you can calculate the test statistic using the formula below:
[latex]t[/latex]-statistic: [latex]t=\dfrac{\stackrel{¯}{x}-μ}{\frac{s}{\sqrt{n}}}[/latex] The distribution of [latex]t[/latex]-scores depends on the degrees of freedom, that is, [latex]df = n – 1[/latex].