Problem 1 Eclipses and occults Saturn has five satellites th

Problem 1: Eclipses and occults Saturn has five satellites that rotate around the planet. The list below records events occurring during the month of August, 1995, involving eclipses or occults of Saturnian recorded satellites. For each event, the percent of light lost by the eclipsed or occulted satelite is Event Aug 2 Aug 4 Aug 5 Aug 6 Aug 8 Light Loss (%) 61 56 Eclipse Eclipse Occult Eclipse Eclipse Occult Occult Occult Occult Occult Eclipse Occult Occult Occult Occult Occult Occult Occult Occult 46 Aug 11 39 Aug 12 Aug 14 Aug 14 Aug 15 Aug 15 AUg 16 Aug 20 Aug 23 Aug 23 AUg 25 Aug 28 1 20 12 Source: Astronomy magazine. Aug. 1995, p.60 via Statistics (10m ed.] McClave and Sincich, p. 53

Solution

a).

Stem and Leaf plot for

light loss

stem unit =

10

leaf unit =

1

Frequency

Stem

Leaf

8

0

1 1 2 3 4 5 5 9

3

1

1 2 3

2

2

0 0

1

3

9

1

4

6

1

5

6

2

6

1 5

0

7

0

8

0

9

1

10

0

19

b).

Stem and Leaf plot for

light loss

stem unit =

10

leaf unit =

1

Frequency

Stem

Leaf

8

0

1 1 2 3 4 5 5 9

3

1

1 2 3

2

2

0 0

1

3

9

1

4

6

1

5

6

2

6

  1 5

0

7

0

8

0

9

1

10

0

19

(eclipse are marked red)

c).

Based on above graph, eclipse is more likely lead to greater light loss.

Stem and Leaf plot for	light loss
stem unit =	10
leaf unit =	1
Frequency	Stem	Leaf
8	0	1 1 2 3 4 5 5 9
3	1	1 2 3
2	2	0 0
1	3	9
1	4	6
1	5	6
2	6	1 5
0	7
0	8
0	9
1	10	0
19