Population experts indicate that family size has decreased in the last few years. Ten years ago the average family size was 2.9. Consider the population of 200 family sizes given in Table P-10. Randomly select a sample of 30 family sizes and test the hypothesis that the average family size has not changed in the last 10 years.

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TABLE P-10 (1)3 (35) (69)2 (02)1 (135) 5 (168) 6 (2)2 (36)2 (70)4 (103)2 (136)2 (169) 3 (3)7 (37)4 73 (104)5 (137)1 (170) 2 (4) 3 (38) 72) (105)3 (138)4 (171) 3 (5) 4 (39)4 73)2 (106)2 (139)2 (172) 4 (6)2 (40) 2 74)67 (140) 4 (173) 2 (7)3 (41) 1 (75)2 (108)2 (141)1 (174) 2 (8)1 (42) 3 76)7 (109) 2 (142)2 (175) 1 (9)5 (43) 5 773 (10 (143)4 (176) 5 (10)3 (44)2 (78)6 (111)4 (144)1 (177) 3 (11)2 (45)1 (79)4 (112 (145)2 (178) 2 (12) 3 (46)4 (80)2 (113)1 (146)2 (179) 4 (13)4 (47)3 (81)3 4)2 (147)5 (180) 3 (14)1 (48)5 (82)5 (115)2 (148)3 (181) 5 (15) 2 (49)2 (83)2 (116) (149) (182) 3 (16) 2 (50)4 (84) (117)4 (50)2 (183) 1 (17)4 (51)1 (85)3 (118)2 (151)6 (184) 2 (18)4 (52) 6 (863 (119)1 (152)2 (185) 4 (19) 3 (53)2 (87)2 (120)3 (153)5 (186) 3 (20)2 (54)5 (88)4 (121)5 (154)1 (187) 2 (21)1 (55) 4 (89)1 (122 (155) 2 (188) 5 (22)5 (56) ()2 (123)2 156)1 (189) 3 (23) 2 (57)2 1)3 (124)3 (157)4 (190) 4 (24) 1 (58)1 (92)3 (125) 4 (158) 2 (191) 3 (25)4 (59)5 (93)2 126)3 (59)2 (192) 2 (26) 3, (60) 2 (94) 4 (127)2 (160)7 (193) 3 (27)2 (61)7 (95)1 (128)1 (6)4 (194) 2 (28)3 (62)1 962 (129)6 (162)2 (195) 5 (29) 6 (63)2 74 (130)1 (163)1 (196) 3 (30)1 (64)6 (98) 3 (131)2 (164)7 (197)3 (31) 2 (654 99)2 (132)5 (65)2 (198) 2 (32) 4 (66)1 (100) 6 (133)2 (66)7 (199) 5 (33) 3 (67)2 (4 (134)1 (167)4 (200) 1 (34)2 (68) 1