Urgent
10 small Discussions
Main Post:
1) Describe the distribution shape of the population of penny ages (i.e., left skewed, symmetric, right skewed).
2) On your copy of the Penny Population document, randomly select 5 penny ages from this population. Calculate the mean of this Nickel Sample (sample size n = 5). How does this compare to the population mean?
3) On your copy of the Penny Population document, randomly select 10 penny ages from this population. Calculate the mean of this Dime Sample (sample size n = 10). How does this compare to the population mean?
4) On your copy of the Penny Population document, randomly select 25 penny ages from this population. Calculate the mean of this Quarter Sample (sample size n = 25). How does this compare to the population mean?
5) Enter your Nickel Sample mean, Dime Sample mean, and Quarter Sample mean in the Sampling Form sent by your instructor. It will generate a histogram of the class means for each sample (Nickel Samples, Dime Samples, and Quarter Samples).
6) Copy and paste the class histograms as they look so far for others to review in the discussion.
EXCEL file to be used for the MAIN POST for Unit 5 Discussion Board
MM305 Students –
Attached is the EXCEL file to be used for the MAIN POST for Unit 5 Discussion Board.
The attached file is called “PennyPopulation.xls”
You will use the attached EXCEL file to respond to Questions #1 to #4 for the Main Posting.
Then this is the link to use to Respond to Question #5 and #6 for the Main Posting:
https://docs.google.com/forms/d/1YqfhHJvXg7tLbiPTTgpuIEYj2J0FDlVMx3HQ5lgo1aw/edit
Attachments area
>Population Document
20 -20
3
.4 11 -30
120
60 -40
16 11 -50
17 13 -60
POPULATION OF PENNY AGES -70
26 23 -80
30 6
7 12 13 -100
99 14 0 1 100 1
.2
31 . 166666 14 24 15 9 20 23 18 97 8 99 40 41 40 97 71 15 82 31 19 98 71 33 49 73 65 76 83 85 3 83 18 65 88 85 46 65 100 88 96 40 59 24 83 41 41 60 56 95 34 43 Age of Coins (Years Old) – Population Created from Student Data
1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100 352 303 160 26 17 23 26 30 28 34
2
POPULATION OF PENNY AGES
STUDENTS: POPULATION INFORMATION HERE
STUDENTS: RANDOM SAMPLES GENERATED HERE
Nickel Sample Size n=
5
Dime Sample Size n=
1
0
Quarter Sample Size n=
25
Age of Coin
BINS
Age of Pennies (Years)
Number of Pennies
AGE OF PENNIES SUMMARY
12
10
1-10
3
52
2
4
14
20
13
11
30
Mean
22
6
35
1
8
16
22 30
21
1
60
Standard Error
0.
7
17
36
8
40
31
26
Median
1
9
9
8
50
41
Mode
18
49
96
21 60
51
23
Standard Deviation
22.50
53
94
12
70
61
Sample Variance
506.
48
74
99
3
80
71
Kurtosis
2.3
56
13
13
90
81-90
28
Skewness
1.
77
66
8
100
91
34
Range
5
3
More
Minimum
22
22
Maximum
24
13
Sum
22
44
41
1
Count
999
10
10 10
7
3
5
14
18
21
21 16
24
6
23
95
7
1
1 9
23
75
7
7
14
AVERAGE =
15
27
54
67
2
4
25
19
15
7
9
16
2
14
2
23
11
22
17
16
7
18
16
18
9
23
19
7
3
3
2
2
17
25
24
12
17
9
7
3
20
21
22
13
22
14
1
19
6
20
14
17
2
7
24
9
21
10
6
3
2
5
18
22
24
9
17
22
1
5
21
16
22
20
7
4
5
1
21
10
9
3
4
18
17
20
25
14
5
19
2
7
18
6
2
3
11
4
13
18
2
19
7
22
7
7
16
15
9
17
22
14
25
9
19
5
18
6
8
15
9
4
18
14
2
14
13
15
19
13
16
13
12
11
1
24
6
14
5
20
24
24
4
11
24
18
16
9
5
6
24
8
17
8
19
4
9
12
3
19
10
24
1
9
12
11
8
5
5
1
9
2
13
3
22
1
24
14
1
8
10
2
7
20
19
10
25
6
2
11
4
25
9
25
12
3
22
23
5
11
4
13
12
18
6
20
5
14
15
14
14
1
8
18
16
22
5
7
11
10
13
25
3
21
11
8
2
23
23
24
11
20
6
2
14
18
17
6
19
17
11
22
11
8
6
23
11
14
7
17
18
17
18
21
24
5
16
22
13
15
13
8
1
23
21
15
10
15
11
12
2
17
24
15
11
14
7
20
14
24
4
6
23
16
15
23
8
19
12
2
15
21
23
11
16
23
25
1
17
8
25
11
15
2
15
18
11
3
2
25
1
8
12
25
12
7
19
5
21
10
18
25
13
20
2
25
9
17
6
22
19
19
16
8
1
17
20
19
19
2
11
21
13
15
11
24
10
23
11
11
24
7
17
17
4
24
12
10
22
1
8
23
2
16
7
14
19
25
23
10
25
19
19
22
13
19
7
24
10
13
24
8
10
25
12
1
19
19
8
1
21
11
7
5
4
13
11
4
11
19
25
13
10
20
22
18
25
19
9
10
11
22
6
16
22
21
9
5
4
17
22
5
4
7
15
22
18
22
20
20
23
9
15
9
2
11
22
23
20
15
6
16
22
24
8
8
2
25
22
9
12
11
8
14
15
8
13
4
5
20
22
12
23
24
23
6
15
17
15
19
20
4
13
9
21
2
1
3
18
19
12
3
23
11
17
23
17
17
10
2
13
2
10
2
23
17
19
9
1
12
5
12
3
3
18
9
3
15
21
16
25
2
23
4
4
19
11
16
15
6
3
9
22
18
17
19
12
19
11
13
6
9
15
23
25
24
6
15
22
1
17
8
6
17
24
25
2
8
25
4
16
9
9
3
4
9
20
25
6
24
4
6
25
25
4
1
18
38
46
73
83
65
52
98
88
77
97
44
42
71
44
27
60
45
31
40
70
16
21
3
12
92
49
76
31
88
64
48
15
46
23
44
82
23
52
17
27
99
42
85
75
14
48
93
23
99
74
97
75
8
40
33
100
11
83
95
36
95
99
57
43
49
76
13
85
1
15
2
93
20
91
51
32
30
60
99
88
85
30 28
75 50
69
63
26
61
9
40
91
59
29
35
34
56
74
77
11
64
36
39
56
93 53
95
95
46
41
11
75
11
77
8
27
97
40
44
67
3
25
68
99
1
42
23
41
63
75
55
58
44
40
33
41 66
64
49
4
3
76
7
46
95
75
44
34
12
30
67
6
88
30
57
70
58
47
58
12
43
16
35
74
79
80
85
60
37
69
75
72
17
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32
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73
32
38
100
96
18
26
62
70
32
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79
25
36 90
4
63
61
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12
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86
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92 94
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