1. Suppose an experiment gets one 4.0 detection of a new particle, and another gets a 4.8 detection. What is the significance (in ) of both measurements considered together? (You can assume the probabilities multiply.) 2. I have several measurements of a quantity: value #1 is 1.0 0.3, value #2 is 0.5 0.3, and value #3 is 1.5 0.5. Which measurements are consistent with one another? What is the probability of getting value #3, assuming value #2 is correct? What is the probability of getting value #2, assuming value #3 is correct? (You can assume Gaussian statistics, with each error corresponding to the 1- r.m.s.) 3. If the formula for a quantity is f = xy/z, and I have relative errors of 3% in x, 5% in y, and 2% in z, what is the relative error in f, assuming the three variables are uncorrelated? (You will need to review the rules for error propagation.) What would it be if x and y were completely correlated, so that a larger/smaller value in one corresponds to a larger/smaller value in the other? 4. Suppose I fit a line to data and get a 2 of 20.0. I then change the slope of the line slightly and get a 22 of 21.0. Based on the definition of 2, how much less likely is this second model, given the data?