1. Intergalactic scientists recruited by the Rebellion were tasked with studying midi-chlorian levels in children and young adults (aged 5 to 25). Midi-chlorian counts are linked to sensitivity to The Force and may confer extraordinary abilities. Normal "Human" midi-chlorian levels average approximately 2,500 per cell and much higher levels of midi-chlorian are observed in Jedi. Using a large and random sample, these scientists determine that the standard deviation of mid-chlorian counts is approximately 625 per cell. These Rebel Scientists wish to identify individuals with sufficient Force sensitivity (i.e., potential to be trained as new Jedi) and have declared that for now, only Humans with a z-score of at least 2.4 may qualify.

a) What is the minimum mid-chlorian count that would be classified as being sufficiently Force-sensitive?

b)What proportion of the Human population can potentially be trained as new Jedi

c)Midi-chlorian counts lower than 2,000 provide no sensitivity to the Force. What proportion of the Human population are therefore useless to train for the Jedi Order?

d)What assumptions must the Rebels make for these data to be accurate?

2. A new study published in the esteemed New Republic Journal of Medicine reported results from a randomized trial designed to assess the effect of a drug calledbota on boosting the effects of midi-chlorians to enhance a Human's Force-sensitivity. The study reports a model including bota as a binary variable calledExposure that indicates treatment with the drug (0 = no; 1 = yes), gender as a binary variable calledFemale(0 = male; 1 = female), age in years, and the number of servings of fruits consumed per day. The dependent variable is defined as enhanced Force-sensitivity (0 = no; 1 = yes).

Female age Fruits Exposure GODS Odds Ratio .8157709 .9963075 L.824738 ;.249714 .2030021 Std. Err. .1180799 .0058042 .0683285 .0283955 .0563485 l.4l 0.63 16.06 9.81 5.74 P>|Z| 0.160 0.000 0.000 0.000 [95% Conf. Interval] B 1.0833? .9849961 1.007749 1.695613 1.963697 1.'9528' 1.306626 .lL78222 .3497628