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Please answer the following questions below: (Notation: X~N(µ, σ), read as X has a normal distribution with mean  µ and SD   σ ) 

2pt   Q1: If X~(42,10) and top enclose X is computed from a random sample of size n=81, what is the distribution of top enclose X ?

2pt   Q2: If X~N(42,10) and top enclose X is computed from a random sample of size n=16, what is the distribution of top enclose X ?

2pt   Q3: When constructing a confidence interval for a mean, what are the two fundamentally different scenarios we would be working under?

2pt   Q4: Interpret the following probability statement into a complete sentence: P(x-bar > 20.26) = 0.8084

2pt   Q5: Find the following probability: P( Z > 0).





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