Son's Height  Father's Height
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
To test the claim that sons are taller than their fathers onaverage, a researcher randomly selected 13 fathers who have adultmale children.  She records the height of both the fatherand son in inches. Â
Note: to answer the questions below, subtract (Son’s Height– Father’s Height).
- What is (are) the parameter(s) of interest?  Chooseone of the following symbols m(the populationmean);mD(the meandifference from paired (dependent) data);m1-m2 (the difference of twoindependent means) and describe the parameter in context of thisquestion in one sentence.
- Depending on your answer to part (a), construct one or tworelative frequency histograms.  Remember to properlytitle and label the graph(s).  Copy and paste thesegraphs into your document.
- Describe the shape of the histogram(s) in one sentence.
- Depending on your answer to part (a), construct one or twoboxplots and copy and paste these graphs into your document.
- Does the boxplot (or do the boxplots) show anyoutliers?  Answer this question in one sentence andidentify any outliers if they are present.
- Considering your answers to parts (c) and (e), is inferenceappropriate in this case?  Why or whynot?  Defend your answer using the graphs in two to threesentences.