Exercise 6: Discovery-aimed: compute p-values

Exercise 6a)

Using the distributions for the test-ststistics compute the p-value or (1−CL), under the background-only hypothesis:

• For the average (median) b-only experiment
• For the average (median) s+b experiment [expected significance]
• For the data [observed significance]

Exercise 6b)

Let's take it one step further and ask the following questions:

• Can you claim a discovery with this ’real’ data-set ?
• Did you expect to be able to make a discovery ?
• At what luminosity do you expect to be able to make a discovery ?