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

Q1: If X~(42,10) andX

is computed from a random sample of size n=81, what is the distribution ofX

?

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

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

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

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