Question

Please write answers clear. Will leave like if its correct.

Age	Gen	Sibs	Work	Exercise	Units	Mom
18	M	1	20	10	15	6
17	F	3	0	7	15	14
23	M	3	20	5	13	8
20	M	2	0	5	15	16
18	F	4	22	6	16	9
20	F	2	11	7	20	20
34	F	1	48	10	10	18
22	F	3	37	13	13	18
19	M	3	0	18	14	18
21	M	0	30	11	16	18
20	M	2	25	10	16	16
19	F	1	25	10	18	16
22	F	1	10	4	14	16
19	M	3	28	6	17	16
19	F	5	16	4	14	16
19	F	3	25	5	15	14
21	M	1	0	20	11	14
21	F	1	15	6	13	14
19	M	5	0	20	18	13
21	F	4	20	4	16	13
22	M	4	0	6	11	12
21	M	2	36	10	15	12
20	M	1	25	0	15	12
18	M	1	20	2	14	12

20	M	1	24	4	15	12
19	M	0	30	10	18	12
19	F	4	20	3	18	12
18	M	2	22	0	13	12
20	M	5	20	4	13	12
38	F	3	16	3	16	12
21	F	3	20	0	12	8
21	F	3	25	3	12	8
18	F	5	30	0	10	8
19	M	2	12	10	18	8
37	M	6	40	4	13	6
19	M	5	20	6	16	6

The data was collected from students in a math class. Work and Exercise are in hours per week. Number of units they were taking this semester was collected and they were asked how many years of education their Mom had. 4) Use a confidence interval to estimate the proportion of students that are taking at least 12 units. 5) Divide the data into two groups: those with at most 13 units and those with over 13 units. a) Test the claim that two groups have the same number of siblings b) Create and compare the boxplots for the number of siblings

Answer 1

4)

confidence interval to estimate the proportion of students that are taking at least 12 units.

Proportion of students that are taking at least 12 units:

32 p = 0.8889

$SE(\widehat{p})=\sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}$

(0.8889) (1-0.8889) 36

SE(P0.0524

Confidence Interval at 95% level of significance:

1.96

$\widehat{p}\pm z^{*}SE(\widehat{p})$

(1.96) (0.0524) 0.8889

0.8889 0.1027

Upper Limit = 0.9916

Lower Limit = 0.7862

5)

1)at most 13:

2) over 13:

Units | 15 | 15 |15 | 16 | 20 | 14 | 16 | 16 | 18 | 14 | 17 | 14 | 15 | 18 | 16 | 15 | 15 | 14 | 15 | 18 |16 | 18 | 16 Siblings 1 3 24 2 3 0 2 113 5 3 5 4 2 1 114 3 2 5

a)

b)

At most 13:

Over 13:

Population size: 23 Median: 2 4.7 Minimum: 0 Maximum: 5 4.2 First quartile: 1 Third quartile: 4 Interquartile Range: 3 3.75 Outliers: none 3.5 3.2 2.75 2.5 2.2 1.5 1.2 0.7 0.5 0.2