ASSUMING A SIMPLE RANDOM SAMPLING WAS USED IN COLLECTING THIS DATA, TEST A CLAIM THAT THE POPULATION MEAN WEIGHT IS LESS THAN 100KG. GIVE DETAIL OF YOUR WORK AND MAKE A CONCLUSIN BASED ON YOUR WORK.

54.4
80.3
59.5
85.5
83.1
95.1
64.1
71.3
75.3
91.7
89.9
99.8
84.1
83.3
99.4
77.5
83.0
84.5
65.3
84.8
98.2
81.4
105.5
123.9
65.3
95.8
46.3
48.5
60.8
105.1
101.8
79.2
76.6
107.4
74.6
63.4
62.4
63.6
52.1
90.3
69.1
79.1
74.2
90.7
86.5
91.1
69.8
53.5
67.0
97.5
70.5
103.6
75.6
67.4
118.8
89.5
86.5
85.7
50.4
84.4
74.1
69.1
64.6
105.8
68.1
104.8
62.2
88.4
100.4
69.6
96.8
78.4
110.2
96.4
93.5
57.8
102.6
90.0
70.6
119.8
65.8
79.8
103.9
50.3
80.7
87.4
80.3
109.1
56.7
89.1
74.7
64.9
79.0
60.4
70.5
64.2
78.5
70.9
75.9
50.4
112.8
93.7
95.6
69.9
78.8
59.7
56.8
64.8
110.5
81.8
69.6
65.6
108.8
91.3
81.7
89.2
73.1
87.1
66.9
83.2
71.5
106.0
68.4
55.2
91.5
93.3
116.0
56.5
100.2
75.5
72.7
84.4
90.2
94.8
92.0
56.7
89.7
97.0
67.6
64.6
64.5
58.4
89.2
86.9
88.3
94.7
144.9
71.7
88.3
48.3
100.4
74.5
73.1
63.9
68.5
72.8
75.2
75.3
92.5
82.6
71.7
56.8
56.7
115.3
60.1
65.3
67.8
71.6
73.1
66.5
85.9
114.9
81.4
72.1
88.6
84.6
94.6
99.5
83.9
67.6
54.5
73.0
72.8
85.0
81.3
98.7
67.3
96.1
122.7
55.6
89.1
58.5
126.4
78.2
86.2
89.7
89.9
103.7
90.3
54.1
62.0
76.1
86.3
46.9
86.8
79.1
70.4
91.5
83.0
64.0
95.3
72.2
61.0
104.4
98.6
92.8
76.5
83.8
81.5
95.3
90.4
90.6
83.6
52.6
61.7
90.5
96.2
57.7
72.6
79.1
51.8
72.3
57.8
64.0
89.8
71.7
87.8
77.2
77.2
48.0
73.1
140.1
97.9
115.5
94.5
92.2
84.8
84.5
71.4
96.9
60.5
73.5
59.6
127.8
81.0
66.2
61.5
66.6
126.0
132.1
108.3
96.2
75.9
81.3
85.9
57.2
63.7
90.2
116.2
101.3
102.6
67.1
105.3
78.7
62.7
77.8
39.0
92.8
45.2
74.0
56.4
91.4
108.2
150.4
138.9
56.3
103.2
87.8
64.8
62.1
133.3
55.4
86.2
125.7
43.3
68.8
127.5
77.2
98.9
63.4