# Problem Set D.docx - Problem Set D Question 1 Use z scores...

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Problem Set D Question 1Use z scores to compare the given values.In a recent awards ceremony, the age of the winner for best actor was 38 and the age of the winner for best actress was 50. For all best actors, the mean age is 47.4 years and the standard deviation is 5.6 years. For all best actresses, the mean age is 35.2 years and the standard deviation is 11.5 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain.(Round to two decimal places.) Question 2Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 3.4 Mbps.(Round to the nearest whole number as needed.) Question 3Use the following cell phone airport data speeds(Mbps)from a particular network. Find P90(Type an integer or a decimal. Do not round.) .
45 th value is 12.5 and the 46 th value is 12.7 P 90 = 12.5 + 12.7 2 P 90 = 12.6 Mbps Question 4Use the following cell phone airport data speeds(Mbps)from a particular network. Find Q3(Type an integer or a decimal. Do not round.) . Question 5Use the following cell phone airport data speeds(Mbps)from a particular network. Find Q1(Type an integer or a decimal. Do not round.) . Question 6Use the following cell phone airport data speeds(Mbps)from a particular network. Find P75(Type an integer or a decimal. Do not round.) .
L = k 100 ×n = 75 100 × 50 = 37.5 L = 38 (has to be rounded because it was not a whole number) Since L = 37.5 is not a whole number, the value P 75 is the 38 th value. Q 3 = P 75 = 38 th value Q 3 = 8.4 Mbps
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