Question

In: Statistics and Probability

I would like you to determine if there are differences between two groups in our class...

I would like you to determine if there are differences between two groups in our class data. You may choose to compare men and women, short people and tall people, people who like blue and people who like green, or any other split that you wish. It doesn’t matter how you decide to split up your groups. You will then select one QUANTITATIVE variable to compare between the two groups.Please turn in the following:

1. What two groups are you comparing? What variable are you using for your comparison?

Tall vs Short. Discrete Variable

2. Use our class data to select a sample for each of your groups. Describe, in detail, how you created your sample. You should include:

a. The statistical name of your sampling method

b. Detailed description of how you created your samples

c. A list of observation numbers and actual data for each of your samples

- Create 4 different statistical descriptors of your data.

- Are your two groups different, or similar? Use the statistics you created in number 3 as a basis of your decision.

CLASS DATA Height in inches:

62,73,69,67,66,63,60,71,67,61,62,64,62,66,68,63,64,74,64,66,74 64

68,66,61,68,62,73,73,63,61,67,73,65,67,65,69,73,64,60,70,62,63,66

64,70,70,66,72,65,63,71,69,74,65,67,74,68,73,59,67,65,70,66,74 ,64

64,69,63,68,63,69,66,65,66,62,72,71,63,60,83,69.5,65,68,68,66,59

67,65,65,65,65,68,73,74,69,65,74,66,67,62,62,73,76,65,65,63

68,63,59 ,72,71,65,66,72,64,63,68,62,64,67,64,74,70,70,66,71

69,67,67,65,63,74,66,72,65,68,62,69,62,72,70,71,64,61,75,77

71,73,72,69,67,65,70,61,67,58,62,60,61,60,72,63,72,65,73,65,66,65,69,68,67   

63,71,60,64,72,74,63,63,70,66,74,72,63,64,65,76,60,61,70,67,72,60,67,73,66,72,65,65,70,61,65 ,71,73 ,73,74,76,66,69,62

65,65,68,70,61,63,65,65,75,63,74,71,72,78,73,73,65,71,59,73,68,60,70,62,72,66,74,61,64,70,67,60,60,62,64,69,69,64,66,66,74,65,72,76,62,73,77,71,75, 70

Favorite color:

Pink, Blue, Red, Blue, Yellow, Pink, Purple, Orange, Green, Blue, Pink, Black, Pink, Red, Green, Orange, blue, Blue, Purple, Black, Blue, Gray, Purple, Purple, Blue, Purple, Purple, Red, Black, Purple, Pastel Green, Red, Teal, Pink, Orange, Black, Pink, Black, Lime, Black, Black, Pink, Blue, Blue, Green, Blue, Orange, Purple, Red, Purple, Pink, Red, Purple, Brown, Green, Purple, Green, Blue, Blue, Pink, Blue, Black, Blue, Black, Green, Purple, Yellow, Red, Green, Red, Purple, Red, Yellow, Purple, Blue, Blue, Purple, Orange, Pink, Blue, Pink, Blue, Red, Red, Pink, Blue, Rose Gold, Pink, Caroline Blue, Blue, Green, Blue, Blue, Green, Red, Purple, Blue, Orange, Red, Yellow, Blue, Red, Orange, purple, Purple, Blue, Blue, Black, Green, Yellow, Yellow, Green, Blue, Green, Green, Yellow, Pink, Blue, Pink, Blue, Pink, Green, Brown, Blue, Pink, Pink, Purple, Red, Teal, Black, Purple, Pink, Orange, Yellow, Blue, Purple, Blue, Red, Blue, Tan, Blue, Blue, Orange, Green, Blue, Red, Blue, Yellow, Black, Purple, Green, Black, Black, Gray, Brown, Black, Brown, Black, Brown, Black, Gray, Red, Blue, Green, Purple, Blue, Green, Yellow, Pink, Black, Blue, Blue, Pink, Red, Yellow, Green, Black, Purple, Orange, Brown, White, Blue, Green, Black, Yellow, Red, Pink, Green, Gold, Black, Orange, Green, Blue, Red, Pink, Blue, Purple, Green, Yellow, Pink, Blue, Yellow, B, B, G, Pink, G, B, Purple, Orange, Orange, Purple, Yellow, Blue, Blue, Pink, Blue, Blue, Orange, Blue, Gray, Blue, Blue, Green, Blue, Red, Black, Red, Blue, Purple, Black, Black, Red, Blue, Yellow, Black, Blue, Red, Red, Orange, Green, Blue, Maroon, Lavender, Green, Yellow, White, Black, Blue, Black, Orange, Red, Green, Blue, Blue, Orange, Yellow, Green, Red, Blue, Blue

Solutions

Expert Solution

Solution:

Given

62,73,69,67,66,63,60,71,67,61,62,64,62,66,68,63,64,74,64,66,74 64

68,66,61,68,62,73,73,63,61,67,73,65,67,65,69,73,64,60,70,62,63,66

64,70,70,66,72,65,63,71,69,74,65,67,74,68,73,59,67,65,70,66,74 ,64

64,69,63,68,63,69,66,65,66,62,72,71,63,60,83,69.5,65,68,68,66,59

67,65,65,65,65,68,73,74,69,65,74,66,67,62,62,73,76,65,65,63

68,63,59 ,72,71,65,66,72,64,63,68,62,64,67,64,74,70,70,66,71

69,67,67,65,63,74,66,72,65,68,62,69,62,72,70,71,64,61,75,77

71,73,72,69,67,65,70,61,67,58,62,60,61,60,72,63,72,65,73,65,66,65,69,68,67   

63,71,60,64,72,74,63,63,70,66,74,72,63,64,65,76,60,61,70,67,72,60,67,73,66,72,65,65,70,61,65 ,71,73 ,73,74,76,66,69,62

65,65,68,70,61,63,65,65,75,63,74,71,72,78,73,73,65,71,59,73,68,60,70,62,72,66,74,61,64,70,67,60,60,62,64,69,69,64,66,66,74,65,72,76,62,73,77,71,75, 70

1) We are comparing two groups (Tall people and short people ). The variable used for comaprison is height of people

2) We have carried out a stratified sampling design for the members of the class based on the height

3) All people with height less than 66 inches are coming under short people and that above the height are classified tall people

4)

Height of short group Height of tall group
58 67
59 67
59 67
59 67
59 67
60 67
60 67
60 67
60 67
60 67
60 67
60 67
60 67
60 67
60 67
60 67
61 67
61 68
61 68
61 68
61 68
61 68
61 68
61 68
61 68
61 68
62 68
62 68
62 68
62 68
62 69
62 69
62 69
62 69
62 69
62 69
62 69
62 69
62 69
62 69
62 69
62 69
63 69
63 69.5
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 70
63 71
63 71
64 71
64 71
64 71
64 71
64 71
64 71
64 71
64 71
64 71
64 71
64 72
64 72
64 72
64 72
64 72
64 72
64 72
65 72
65 72
65 72
65 72
65 72
65 72
65 72
65 72
65 72
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 73
65 74
65 74
65 74
65 74
65 74
66 74
66 74
66 74
66 74
66 74
66 74
66 74
66 74
66 74
66 74
66 75
66 75
66 75
66 76
66 76
66 76
66 76
66 77
66 77
66 78
66 83
Mean 63.40 71.07
Std Deviation 2.07 2.91
Median 64.00 71.00
Mode 65.00 67.00
Range 8.00 16.00

These two groups are not similar because of the difference in values of short and tall people.

Please give upvote.

Thank you.

orchestra answered 1 year ago
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