Use the following data set to answer the following questions. To earn full credit show all of your calculations and other work. Explain your answers. Don’t just write a number.

Researchers were interested in whether lifetime coffee consumption was related to differences in pineal gland size in healthy older (60-94 years old) individuals. Using the number of years they had been drinking coffee and the number of cups per day, Park and colleagues divided their participants into three groups based on their lifetime coffee consumption: low, moderate, and high. They also measured the volume of the pineal gland using magnetic resonance imaging (MRI). The data that follow are hypothetical pineal gland volume created so the conclusions and means you reach will mimic the experiment.

Low Coffee
Consumption Moderate Coffee
Consumption High Coffee
Consumption
5 5 3
4 5 4
4 5 4
4 4 4
5 4 4
5 4 3
5 6 4

Conduct an analysis using α = .05 to determine if lifetime coffee consumption is related to differences in pineal gland size.
• Perform the F test, create an ANOVA summary table,
• Complete a Tukey HSD analysis (if appropriate), calculate the effect size index f, and the three d’s.
• Write a conclusion about the relationship of lifetime coffee consumption and pineal gland size.
• You can use the JASP Software to perform your analysis. Make sure you include the analysis output in your submission. Also, explain your results in detail.