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The data was collected from students in a math class. Work and Exercise are in hours per week. Number of units they were taki4) Use a confidence interval to estimate the proportion of students that are taking at least 12 units. 5) Divide the data int

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
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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:Units13 10 13 11 13 12 13 13 12 12 10 13 11 Siblings 3 1 3 1 1 0 2 5 3 3 5 64

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 Siblin

a)

The provided sample means are shown below: x1 2.85 Xo 2.52 Also, the provided sample standard deviations are 811.82 s2 1.47 a

ariances are unequal. Hence, it is found that the critical value for this two-tailed test isțc-2.08, for α df = 20.929 The re

b)

At most 13:

Population size: 13 Median: 3 Minimum: 0 Maximum: 6 First quartile: 1 Third quartile: 4.5 Interquartile Range: 3.5 Outliers:

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 O

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