Chapter 5
5.1 (a)H 0 :m¼30;HA:m>30;(b)H 0 :m¼ 11 :5;HA:m 011 :5;(c)hypoth-
eses are for population parameters;(d)H 0 :m¼ 31 :5;HA:m< 31 :5;(e)
H 0 :m¼16;HA:m 0 16;(f)Same as part (c).
5.2 H 0 :m¼ 74 :5.
5.3 H 0 :m¼7250;HA:m<7250.
5.4 H 0 :p¼38;HA:p>38.
5.5 H 0 :p¼ 0 :007;HA:m> 0 :007.
pvalue¼Prðb20 cases out of 1000jH 0 Þ
H 0 :mean¼ð 1000 Þð 0 : 007 Þ¼ 7
variance¼ð 1000 Þð 0 : 007 Þð 0 : 993 Þ¼ð 2 : 64 Þ^2
z¼
20 7
2 : 64
¼ 4 : 92 ; pvalueF 0
5.6 The mean di¤erence;H 0 :md¼0,HA:md 0 0.
5.7 H 0 :p¼
20 : 5
5000
HA:p>
20 : 5
5000
5.8 H 0 :s¼20,HA:s 0 20.
5.9 One-tailed.
5.10 UnderH 0 :p¼ 0 :25; variance¼pð 1 pÞ= 100 ¼ð 0 : 043 Þ^2
z¼
0 : 18 0 : 25
0 : 043
¼ 1 : 63 ; a¼ 0 : 052
UnderHA:p¼ 0 :15; variance¼pð 1 pÞ= 100 ¼ð 0 : 036 Þ^2
z¼
0 : 18 0 : 15
0 : 036
¼ 0 : 83 ; b¼ 0 : 2033
The change makesasmaller andblarger.
514 ANSWERS TO SELECTED EXERCISES