Let X~N(35, 42).

Find:

a. P(X < 30.5)

b. P(30.5 ≤ X < 40.5)

c. P(40.5 X ≤ 46.5)

d. P(X ≥ 46.5)

For each following question, clearly state:

• Your hypotheses

• The value of the test statistic

• The number of degrees of freedom required

• The critical value

• Your conclusion.