Past enrollment data indicates that 20 of the students

Question

1. Past enrollment data indicates that 20% of the students taking elementary statistics at FHSU have a family size of 5 people. Is the enrollment in this semester's virtual class significantly less than this claim, as measured statistically? Justify your answer through a formal hypothesis testing procedure on proportions with a 10% level of significance. It is required that you give needed hypotheses and related statistical values below as well as statistical computations to the right (feel free to use the appropriate template from the Excel guide for Unit 3 if desired). Then give a proper final interpretive conclusion below based on the statistical measures calculated and related to the context given.

2. It has been claimed that the mean age of all FHSU Virtual College statistics students is 28 years old. Using the age data collected from this year's classes, test this hypothesis--that is does the collected data statistically support this claim or is the mean age different from 28 years old? Justify your answer through a formal hypothesis testing procedure with a 0.05 level of significance. Again, necessary claims, calculations, and values must be shown below and to the right. Give your proper/final conclusion below. (Hint: Since the population s.d. is not known, make sure to realize the need to use the t-distribution for testing purposes.)

3. It has been claimed that the average footlength of adults in the US is more than 24 cm. Does the data of our statistics class support or contradict this claim? Justify your answer through a formal hypothesis testing procedure with a P-value approach using a significance level of your choice. Calculation of and interpretation of the P-value is required on this problem. Give your final conclusion below.

Individual#	Gender	Foot Length	Height	Age	Armspan	Number in Family	Hair Color
1	Female	23.5	157.5	22	151	5	Blonde
2	Female	23.4	168	33	163	2	Brown
3	Female	24	167.5	35	165	2	Brown
4	Female	21	175	22	186	7	Blonde
5	Female	21.5	157.5	42	147	1	Blonde
6	Female	21	160	34	148	2	Blonde
7	Female	22	163	30	163	2	Blonde
8	Female	23	165.5	40	159	3	Blonde
9	Female	27	174	52	185.5	4	Blonde
10	Female	23.5	167.5	19	159	6	Brown
11	Female	23	155	19	155.5	1	Red
12	Female	24	168	28	169	4	Red
13	Female	23.5	164.5	23	164.5	3	Blonde
14	Female	23	163	35	151	5	Blonde
15	Female	24	162	29	165	4	Blonde
16	Female	25	171.5	19	170.5	4	Blonde
17	Female	25.5	164	32	171	4	Blonde
18	Male	27	178	26	172	5	Brown
19	Female	23	162.5	27	157.5	3	Brown
20	Male	30.5	183.5	28	175.5	3	Black
21	Female	25.5	170	33	170.5	7	Blonde
22	Male	27	173	37	179	4	Black
23	Female	24	164	25	160	3	Brown
24	Male	26.5	183	40	177.5	2	Brown
25	Female	24	162.5	36	162	6	Brown
26	Female	21.5	151	35	151	3	Brown
27	Female	24.5	167.5	49	157.5	3	Blonde
28	Female	21.5	162.5	34	165	4	Blonde
29	Female	24.5	163	20	150	5	Brown
30	Female	25.5	175.5	24	168	2	Blonde
31	Female	22.5	162	23	157	2	Red
32	Female	24	169	26	169	4	Brown
33	Female	23.5	162.5	33	157.5	3	Brown
34	Male	25.5	178	20	176.5	4	Brown
35	Male	27	173	26	173	6	Brown
36	Male	23	170	35	168.5	3	Blonde
37	Male	25.5	177	24	179.5	4	Black
38	Female	26	168	33	168	5	Red
39	Male	29.5	180.5	26	189	8	Blonde
40	Female	19	162	21	160	2	Brown
41	Female	24.5	171	20	167	3	Brown
42	Male	29	185.5	35	190.5	4	Brown
43	Female	23	163.5	19	167	3	Red
44	Female	24	160	22	160	5	Blonde
45	Female	23.5	162	23	158	4	Brown
46	Female	22	165	37	163	6	Brown
47	Female	24	165	31	150	4	Blonde
48	Female	29	168	34	175.5	5	Red
49	Male	29	185	42	185	6	Brown
50	Female	23	167.5	52	165	1	Brown
51	Male	24	175	51	172.5	5	Brown
52	Female	24.5	170	39	172	3	Brown
53	Female	23	166.5	30	167.5	4	Brown
54	Male	26	183	21	184.5	3	Brown
55	Male	22.5	157.5	20	160	4	Red
56	Female	25	162.5	27	164.5	2	Brown
57	Female	21.5	160	35	146	2	Blonde
58	Female	27	168	31	164.5	4	Brown
59	Female	27	180.5	44	173.5	3	Brown
60	Female	24	162	22	166	6	Brown
61	Female	25	164	51	165.5	5	Black
62	Female	26	170	33	163	4	Brown
63	Female	23	160	37	164	2	Brown
64	Male	26.5	176.5	22	180.5	4	Black
65	Female	23.5	157.5	22	151	5	Blonde
66	Male	29	185.5	22	185	5	Brown
67	Female	24	165	25	156.5	2	Blonde
68	Female	22	167	45	160.5	4	Brown
69	Male	27	177	23	183	4	Black
70	Female	25	163.5	30	172	4	Brown
71	Female	25.5	167.5	21	176	8	Blonde
72	Female	24.5	167.5	24	168	3	Blonde
73	Female	23	167	38	167	2	Brown
74	Male	27	185.5	33	188	1	Brown
75	Female	28	170	29	160	3	Black