Question:

Note: Please pay careful attention to the data and each scenario given at the end of question (kindly enter all formulas when calculating/solving each part, as it will be crucial for me to understand the logic behind it).

A random sample of size 10 was taken from the following population:

	Population	Sample
1	106	110
2	103	104
3	102	102
4	107	106
5	110	106
6	102	100
7	109	107
8	108	110
9	102	102
10	101	100
11	101
12	106
13	108
14	103
15	101
16	102
17	101
18	107
19	104
20	101
21	109
22	107
23	102
24	108
25	108
26	110
27	100
28	106
29	107
30	100
31	106
32	103
33	105
34	107
35	101
36	103
37	109
38	107
39	106
40	107
41	110
42	110
43	103
44	109
45	100
46	101
47	105
48	105
49	110
50	105
51	102
52	100
53	105
54	103
55	100
56	106
57	102
58	108
59	109
60	110
61	104
62	102
63	103
64	106
65	110
66	106
67	106
68	106
69	101
70	106
71	101
72	100
73	103
74	104
75	109
76	105
77	106
78	101
79	107
80	106
81	104
82	104
83	104
84	102
85	108
86	100
87	107
88	108
89	110
90	101
91	104
92	106
93	105
94	108
95	105
96	110
97	104
98	108
99	102
100	106
101	105
102	102
103	108
104	106
105	105
106	103
107	103
108	105
109	104
110	105
111	109
112	100
113	101
114	110
115	106
116	106
117	107
118	101
119	106
120	108
121	103
122	108
123	103
124	106
125	108
126	109
127	102
128	109
129	102
130	102
131	107
132	103
133	110
134	109
135	106
136	108
137	101
138	104
139	104
140	108
141	104
142	106
143	101
144	104
145	104
146	101
147	105
148	101
149	102
150	109
151	107
152	102
153	108
154	105
155	101
156	100
157	102
158	108
159	106
160	100
161	108
162	105
163	106
164	108
165	104
166	109
167	108
168	100
169	104
170	105
171	109
172	105
173	105
174	107
175	107
176	102
177	107
178	105
179	107
180	100
181	101
182	106
183	102
184	106
185	106
186	101
187	105
188	108
189	107
190	109
191	109
192	109
193	105
194	105
195	108
196	100
197	108
198	103
199	105
200	101

Based on above data, now calculate the confidence interval of 90%:

Sample mean:	?
Sample standard dev.:	?
Population standard dev.:	?
SE of the mean:	?
Z-score at /2:	?
Margin of error:	?
Lower limit	?
Upper limit:	?

Thanks.