Caffeine is the world's most widely used stimulant, with approximately 80% consumed in the form of coffee. Participants in a study investigating the relationship between coffee consumption and exercise were asked to report the number of hours they spent per week on moderate (e.g., brisk walking) and vigorous (e.g., strenuous sports and jogging) exercise. Based on these data the researchers estimated the total hours of metabolic equivalent tasks (MET) per week, a value always greater than 0. The table below gives summary statistics of MET for women in this study based on the amount of coffee consumed.

(a) Write the hypotheses for evaluating if the average physical activity level varies among the different levels of coffee consumption. 

(b) Check conditions and describe any assumptions you must make to proceed with the test. 

(c) Below is part of the output associated with this test. Fill in the empty cells.

(d) What is the conclusion of the test?

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Mean SD n < 1 cup/week 18.7 21.1 12,215 Caffeinated coffee consumption 2-6 cups/week 1 cup/day 2-3 cups/day 19.6 25.5 6,617 19.3 22.5 17,234 18.9 22.0 12,290 > 4 cups/day 17.5 22.0 2,383 Total 50,739