maths homework

(No late assignments will be accepted) p. 259-260 37, 39, 45, 47, 51

Remember…you are expected to do the textbook problems, but they do not have to be turned in. Only turn in the answers to the questions below.

1. For each of the following, find the appropriate value for k and draw the corresponding graph (with the correct area under the curve shaded):

(a) P(-2.2 < Z < k) = 0.8943

(b) P(Z > k) = 0.0392

(c) P(Z < k) = 0.1736

2. Using the T distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :

(a) P(T > 2.101) when ν = 18.

(b) P(-0.856 < T < 2.787) when ν = 25.

(c) P(T < -1.833) when ν = 9.

3. Using the χ2 distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :

(a) P(χα2 < χ2 < 22.307 ) = 0.875 when ν = 15

(b) P(χ2 > χα2) = 0.025 when ν = 30.

(c) P(χ2 < χα2) = 0.025 when ν = 30.

4. For an F distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :

(a) P (F f ) = 0.99 with 1 = 8 and 2 = 15.

(b) P (F f ) = 0.05 with 1 = 7 and 2 = 10.

(c) f0.95 (6, 10)

(d) P (F 4.16) with 1 = 12 and 2 = 12.