Question

Diabetes tends to be more prevalent in urban populations, but why this is so is not fully understood. A recent study¹ on mice was designed to investigate the link between diabetes and air pollution. The study involved 28 mice, with 14 randomly selected to have filtered air pumped into their cage while the other 14 breathed particulate matter that simulated common air pollution. The response variable is the amount of insulin resistance each mouse had after 24 weeks. Higher insulin resistance indicates a greater risk for developing diabetes.

b) If we are interested in whether there is a difference in mean insulin resistance between the two groups, what are the null and alternative hypotheses? Your answer should be an expression composed of symbols:

Let the filtered air group be group 1, and the polluted air group be group 2.

(d) What is the p-value?

Round your answer to one decimal place.

(e) State the conclusion of the test in context.

Answer 1