Week 4 Discussion The US Population Statistics, Z-Scores - 275 Words

Week 4 Discussion: The US Population Statistics, Z-Scores (Coursework Sample) Content: Week 4 Discussion StatisticsNameInstitutionWeek 4 Discussion - StatisticsMy comparative measurements are as follows;Height: 5'3  or 63 inchesWomen shoe size: 91/2 or 8 in menRing size: 8To compare the relative individual measurements to the US population statistics, we will need to calculate the z-scores for each of the three individual measurements using the formula below.Z-score = (x - )/ where x is the individual measurement given above for each case, is the population mean and is the population standard deviation. In order to infer on the relative proportion of the measurements from the z-score values obtained, we shall assume that the US population statistics is obtained from normally distributed population parameters CITATION Hel15 \l 1033 (Helio, Dani, Francisco, 2015).HeightZ-score = ( 63 64.4)/2.4 = -0.58Using the z-table, the proportion of US citizen who are shorter than me is 0.2810. Therefore 28.1% of the US female population are shorter than me. This justifies the common reference by my friends and family as a short lady.Shoe sizez-score = (8 8.75)/1.25 = -0.6Using the z-table, the proportion of US citizen with a smaller shoe size than mine...