For the following scenario, answer the following questions. The underlined text is the name of the...

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Basic Math

For the following scenario, answer the following questions. Theunderlined text is the name of the StatCrunch data set to be usedfor that part. Please note, do not conduct inference in thisproblem; just answer each question.

Heights of Fathers and Sons. To test the claim that sons aretaller than their fathers on average, a researcher randomlyselected 13 fathers who have adult male children. She records theheight of both the father and son in inches.
Note: to answer the questions below, subtract (Son’s Height –Father’s Height).

Data:

Sons   Fathers

64.4 79
69.2 67.1
76.4 70.9
69.2 66.8
78.2 72.8
76.9 70.4
71.8 70.3
79 70.1
75.8 79.5
72.3 65.5
69.2 65.4
66.9 69.1
64.5 74.5

  1. a) What is (are) the parameter(s) of interest? Choose one of thefollowing symbols the population mean)D (the mean differencefrom paired (dependent) data)2 (the difference of twoindependent means) and describe the parameter in context of thisquestion in one sentence.

  2. b) Depending on your answer to part (a), construct one or tworelative frequency histograms. Remember to properly title and labelthe graph(s). Copy and paste these graphs into your document.

  3. c) Describe the shape of the histogram(s) in one sentence.

  4. d) Depending on your answer to part (a), construct one or twoboxplots and copy and paste these graphs into your document.

  5. e) Does the boxplot (or do the boxplots) show any outliers?Answer this question in one sentence and identify any outliers ifthey are present.

  6. f) Considering your answers to parts (c) and (e), is inferenceappropriate in this case? Why or why not? Defend your answer usingthe graphs in two to three sentences.

Answer & Explanation Solved by verified expert
4.5 Ratings (883 Votes)
QueaSince this is dependent sample parameter of interest is mean difference between sons height and fathers heightQuebI used R software to solve this    See Answer
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