Robert_V._Hogg,_Joseph_W._McKean,_Allen_T._Craig

730 Answers to Selected Exercises

9.3.2 2 r+4θ.

9.3.3(a) 5m/3; (b) 0.6174; 0.9421;

(c) 7

9.4.1None. For B−C: (− 0. 199 , 10 .252).

9.4.2No significant differences.

9.4.3(a) CI’s of form: (4.2.14) using

α/k.

9.4.4(a)(− 0. 103 , 0 .0214)

(b) χ^2 =24.4309,p =0.00367,

(− 0. 103 , 0 .021).

9.5.6 7 .00; 9. 98.

9.5.8 4 .79; 22.82; 30. 73.

9.5.10(a) 7. 624 > 4. 46 ,rejectHA;
(b) 15. 538 > 3. 84 ,rejectHB.
9.5.118; 0; 0; 0; 0;−3; 1; 2;−2;
2;−2; 2; 2;−2; 2;−2; 0; 0; 0; 0.

9.6.1N(α∗,σ^2 (n−^1 +x^2 /

∑

(xi−x)^2 )).

9.6.2(a) 6.478+4. 483 x;(d)(− 0. 026 , 8 .992).

9.6.3(a)− 983 .8868 + 0. 5041 x.

9.6.8PI: (3. 27 , 3 .70)

9.6.10βˆ=n−^1

∑

iYi/xi;

γˆ=n−^1

∑

i[(Yi/xi)−n

− 1 ∑

j(Yj/xj)]

(^2).
9.6.14̂a=^53.
9.7.2RejectH 0.
9.7.6Lower Bound: tanh
[
1
2 log
1+r
1 −r−
√zα/^2
n− 3
]
.
9.7.7(a) 0. 710 ,(0. 555 , 0 .818);
(b) Pitchers: 0. 536 ,(0. 187 , 0 .764).
9.8.22;μ′Aμ;μ 1 =μ 2 =0.
9.8.3(b)A^2 =A;tr(A)=2;
μ′Aμ/8=6.
9.8.4(a)
∑
σ^2 i/n^2.
9.8.5(a) [1 + (n−1)ρ](σ^2 /n).
9.9.1Dependent.
9.9.3 0 , 0 , 0 , 0.
9.9.4
∑n
i=1aij=0.

Chapter 10

10.2.3(a) 0.1148; (b) 0. 7836.

10.2.4(a) 425; (380,500);

(b) 591.18; (508. 96 , 673 .41).

10.2.9(a)P(Z>zα−(σ/

√

n)θ),

whereE(Z)=0andVar(Z)=1;

(c) Use the Central Limit Theo-

rem;

(d)

[(z

α−zγ∗)σ

θ∗

] 2

.

10.4.2 1 −Φ[zα−

√

λ 1 λ 2 (δ/σ)].

10.4.3Conf.Int for MWW: (0. 0483 ,00571).

10.4.4Our run:n 1 =n 2 = 39 yielded

0.8025 power.

10.3.4(a)T+= 174,p-value = 0.0083.

(b)t=3.0442,p-value = 0.0067.

10.5.3n(nn+1−1).

10.7.1(b) (0. 156 , 0 .695).

10.5.14(a)WS∗=9;WXS∗ =6;(b)1.2;

(c) 9. 5.

10.8.3̂yLS= 205.9+0. 015 x;

ŷW= 211.0+0. 010 x.

10.8.4(a)̂yLS= 265. 7 − 0 .765(x−1900);

ŷW= 246. 9 − 0 .436(x−1900);

(b)̂yLS= 3501. 0 − 38 .35(x−1900);

ŷW= 3297. 0 − 35 .52(x−1900).

10.8.9rqc=16/17 = 0. 941

(zeroes were excluded).

10.8.10rN=0.835;z=3. 734.

10.9.4Cases:t<yandt>y.

10.9.5(c)y^2 −σ^2.

10.9.7(a)n−^1

∑n

i=1(Yi−Y)

(^2) ;
(c)y^2 −σ^2.