Use the data to answer the question

• The standard deviation for IQ tests is well known and established: = 15. Using this find a 90% confidence interval for IQIQ = mean IQ of student in midwestern schools
• We don't know how the variable GPA is typically distributed in high schools. Regardless you will need to determine a 90% confidence interval for GPAGPA = mean GPA of student in midwestern schools.
• During this process be sure to identify key terms like margin of error, standard error, and z-critical value

ID	GPA	IQ	Gender
1	7.94	111	2
2	8.292	107	2
3	4.643	100	2
4	7.47	107	2
5	8.882	114	1
6	7.585	115	2
7	7.65	111	2
8	2.412	97	2
9	6	100	1
10	8.833	112	2
11	7.47	104	1
12	5.528	89	1
13	7.167	104	2
14	7.571	102	1
15	4.7	91	1
16	8.167	114	1
17	7.822	114	1
18	7.598	103	1
19	4	106	2
20	6.231	105	1
21	7.643	113	2
22	1.76	109	2
24	6.419	108	1
26	9.648	113	2
27	10.7	130	1
28	10.58	128	2
29	9.429	128	2
30	8	118	2
31	9.585	113	2
32	9.571	120	1
33	8.998	132	1
34	8.333	111	1
35	8.175	124	2
36	8	127	2
37	9.333	128	1
38	9.5	136	2
39	9.167	106	2
40	10.14	118	1
41	9.999	119	1
43	10.76	123	2
44	9.763	124	2
45	9.41	126	2
46	9.167	116	2
47	9.348	127	2
48	8.167	119	2
50	3.647	97	2
51	3.408	86	1
52	3.936	102	2
53	7.167	110	2
54	7.647	120	2
55	0.53	103	2
56	6.173	115	2
57	7.295	93	2
58	7.295	72	1
59	8.938	111	1
60	7.882	103	1
61	8.353	123	2
62	5.062	79	2
63	8.175	119	2
64	8.235	110	2
65	7.588	110	2
68	7.647	107	2
69	5.237	74	1
71	7.825	105	2
72	7.333	112	1
73	9.167	105	2
74	7.996	110	2
75	8.714	107	1
76	7.833	103	1
77	4.885	77	2
78	7.998	98	1
79	3.82	90	2
80	5.936	96	1
81	9	112	1
82	9.5	112	1
83	6.057	114	2
84	6.057	93	1
85	6.938	106	2