For the following scenario, answer the following questions. the underlined text is the name of the statcrunch data set to be used for that part. note, do not conduct inference in this problem; just answer each question.

heights of fathers and sons. to test the claim that sons are taller than their fathers on average, a researcher randomly selected 13 fathers who have adult male children. she records the height 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

a) what is (are) the parameter(s) of interest? choose one of the following symbols the population mean)d (the mean difference from paired (dependent) data)2 (the difference of two independent means) and describe the parameter in context of this question in one sentence.

b) depending on your answer to part (a), construct one or two relative frequency histograms. remember to properly title and label the graph(s). copy and paste these graphs into your document.

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

d) depending on your answer to part (a), construct one or two boxplots and copy and paste these graphs into your document.

e) does the boxplot (or do the boxplots) show any outliers? answer this question in one sentence and identify any outliers if they are present.

f) considering your answers to parts (c) and (e), is inference appropriate in this case? why or why not? defend your answer using the graphs in two to three sentences.