Question 1

We will start with some more practise in looking up tables. State the following probability values – either exact values or the range of possible values indicated on the Statistical Tables. For each part, include a diagram to indicate the area of interest in the relevant distribution.

[Blank curves are appended at the back of this assignment for your reference.] 

(a) P(t > 2.31)           (for the t distribution on 18 degrees of freedom)

(b) P(t > -1.8727)     (for t on 5 df)

(c) P(t < -1.7247)      (for t on 20 df)

(d) P(x2 > 6.68)        (arising from a test of association on a 2x2 contingency table)

(e) P(x2 > 9.50)        (arising from a test of association on a 4x3 contingency table)