Prompt Title: Checklist for Smell Intensity.

Sure, here's an example of how to use ANOVA to analyze differences in smell intensity ratings for three different types of coffee:

Hypotheses:

• Null hypothesis (H0): There are no significant differences in smell intensity ratings between the three types of coffee.
• Alternative hypothesis (Ha): There are significant differences in smell intensity ratings between the three types of coffee.

Data:

• We collected smell intensity ratings from 10 participants for three types of coffee: Colombian, Ethiopian, and Kenyan. Participants used a 1-5 scale to rate the intensity of the smell of each coffee, with 1 being no smell detected and 5 being very strong smell.
• Here is a table showing the smell intensity ratings for each participant:

ANOVA analysis:

• We can conduct a one-way ANOVA to analyze the differences in smell intensity ratings between the three types of coffee.
• Running the ANOVA test gives us the following results:

• The p-value of the ANOVA test is 0.029, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there are significant differences in smell intensity ratings between the three types of coffee.
• We can conduct post-hoc tests, such as Tukey's HSD test or Bonferroni test, to determine which samples are significantly different from each other.

Interpretation:

• Based on the ANOVA test, we can conclude that there are significant differences in smell intensity ratings between the three types of coffee. We should conduct further tests to determine which specific types of coffee are significantly different from each other.
• It's important to note that this is just a hypothetical example, and the results and conclusions may differ depending on the actual data and analysis methods used.