Question

A researcher designed a study to determine whether sleep deprivation influences perceived level of stress for college students. The researcher selected 10 students that were not experiencing sleep deprivation, 10 students that were experiencing mild sleep deprivation and a third group of 10 students that suffered from severe sleep deprivation. Each participant completed a questionnaire designed to measure their stress levels between on a scale of 0-10 with higher values reflecting greater stress levels.

The questions are: What statistical test was used to analyze the data?

state hypotheses

Answer 1

one factor analysis of variance (one way ANOVA ) test will be used here to compare means of three group.

here, random sample are used..and samples used are independent

here, three groups are

1)students  that were not experiencing sleep deprivation,

2)students that were experiencing mild sleep deprivation

3) and a third group students  that suffered from severe sleep deprivation

so,there are total 3 treatments with each having sample size of 10

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Null hypothesis : there is no difference in means of three groups

alternate hypothesis : at least two means differ from each other.