Exercise 7. You believe that x + X ~ IID(n = 4) N(100, o?) for some o? > 0. (Assumption 2) A colleague questions the assumption that u = 100 (but not the assumption of IID Normality or that o² > 0). This colleague looks at the data x and notes that x = 110.4 and s2 = 95.9. |X-100 |110.4 –100|, V95.9/4 (c) Compute P(“ under Assumption 2 and explain how this probability value can be useful for Vs2/4 addressing your colleague's question. X-100 (d) Find the "critical value" cv such that P 2 cv = 0.05 under Assumption 2. Does the observed value |x-100|| |110.4–100|| fall in the "critical region" defined as {value: value > cv}? Vs2 14 V95.9/4

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