(c) (Written response) What was the sampling method used to collect this data an
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Question
(c) (Written response) What was the sampling method used to collect this data and is it a good method to infer the proportion of all students at CU who are Sophomores? Why or why not?
Why is this average of the two means not equal to the mean of all respondents? (Note that every respondent did identify as female or male in this survey. So, every student is accounted for when females and males are combined.)
Does the bar chart show a data set to which the Empirical Rule can be ap- plied? Why or why not? (Note that this question is not asking you to apply the Empirical Rule at this time, just whether or not the rule is applicable to this data set.)
Which is larger, the standard deviation of the heights of only the female stu- dents or the standard deviation of the heights of all students? What does this imply about the two distributions? Why does this make sense? (Make sure that your explanation clearly reflects your understanding of what the standard deviation measures.)
Describe the shape of the distribution of the number of heads flipped. How do the frequency table and ogive reflect this shape?
I could not figure out how to post an excel spreadsheet to this, so here is a link to the full spreadsheet in dropbox form.
https://www.dropbox.com/s/ayygxvoqtmt0bk3/Activity%201%20Data%20Summer2017.xlsx?dl=0
CLASS HEADS Respondent GENDER HEIGHT STANDING FLIPPED Female 100 66 Junior 29 101 Male 71 Senio 26 Female 102 68 Junior 24 72 Sophomore 18 103 Male 104 Male 75 Junior 26 Female 66 Sophomore 33 105 Female 106 66 Senio 69 Sophomore 25 107 Male 80 Sophomore 19 110 Male Female 64 Sophomore 24. Sophomore 112 Male 72 26 113 Male 69 Senio 23 114 Male Junior 26 Female 64 Sophomore 23 115 Freshman Male 67 23 Sophomore 118 Male 72 29 Sophomore 119 Male 72 26 Female Sophomore 120 68 23 75 Sophomore 38 121 Male 122 Male Senio 30 77 Sophomore 23 123 Male 124 Male 69 Junior Female 65 Sophomore 21 125 68 Freshman 21 126 Male 70 Freshman 27 127 Male Female 128 66 Junior Female 129 67 Senio 35 Female 73 Sophomore 22 130 Female 131 65 Senio 22 Female Sophomore 132 62 22 Datasheet #1a CLASS STANDING FREQUENCY Freshman 73 Sophomore 293 Junior 141 93 #2a MEAN HEIGHT (ALL) 67.73666667 #2b MEAN FEMALE HEIGHT 64.81412639 #2c MEAN MALE HEIGHT 11178248 #3a HEIGHT FREQUENCY 156 50 15
Explanation / Answer
Solution:
Note: Multiple questions, please post the unanswered questions separately
What was the sampling method used to collect this data and is it a good method to infer the proportion of all students at CU who are Sophomores? Why or why not?
Why is this average of the two means not equal to the mean of all respondents? (Note that every respondent did identify as female or male in this survey. So, every student is accounted for when females and males are combined.)
Does the bar chart show a data set to which the Empirical Rule can be ap- plied? Why or why not? (Note that this question is not asking you to apply the Empirical Rule at this time, just whether or not the rule is applicable to this data set.)
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