Let\'s say that we were in charge of a program that helps students who need help

Question

Let's say that we were in charge of a program that helps students who need help dealing with stress, and our goal is to reduce reported stress levels (as measured on a scale of 1-10), so that by the end of our 1-year intervention, students report, on average, stress levels that are three points lower than comparative student stress levels from national data. In 2-3 sentences, please identify a statistical test that we would need use to compare the average reported stress levels of the students to national data, and how wewould know if the two levels show a statistically significant difference. Would this be a 1-sample t test, 2-sample t test, or a one-way ANOVA?

Explanation / Answer

Answer:

For the given scenario, we have to compare the average stress level of students with the average national stress level. We want to check or test the hypothesis whether the average stress level of students is reduced by three points or not. There is a single sample of students and we have to compare it with national average or population mean. We have to compare the sample average with the national average. We are given a single sample. So, this would be one sample test for population parameter. We don’t know the population standard deviation, so we will use t test.

So, this would be a 1-sample t test for the population mean.

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