5. (20 pts.; 5 points ea) Refer to the histogram of the compressive strength mea

Question

5. (20 pts.; 5 points ea) Refer to the histogram of the compressive strength measured for 6 alloy undergoing development as a material for the next generation of aircraft skin: 16 14 12 10 673, 68.4] (69.6,70,71 (71.9,73.0 (70.7,71.9 (74.2, 75.3] (66.1, 67.3 (68.4, 69.6 (73.0, 74.2 Tensile strength, in thousand psi a) Given the histogram above, the best statement that can be made bout this data is (place an X beside your answer): a. Most of the strength occurs between 69.6 and 71.9 thousand psi b. Most of the specimens had a strength between 69.6 and 70.7 thousand pasi e. Strength measurements between 69.6 and 70.7 thousand psi occurred most frequently d. The maximum measured strength is between 69.6 and 70.7 thousand psi b) What percentage of the strength measurements occurred between 67 3 and 69.6 thousand psi? If measurements less than 70.7 thousand psí do not meet specification, what percentage of these samples are not fit for e) use? skin, which of these strength measurements would be considered If safety is a primary consideration for these aircraft best and why? (Do not consider other factors besides strength in your statement. d)

Explanation / Answer

a)

option C is correct : strength measurements between 69.6 and 70.7 thousand psi occured most frequenntly

b)

% of measurement between 67.3 and 69.6 =frequency in category*100/total frequency

=(4+11)*100/60 = 25.0%

c)

% not fit for measurement =(4+4+11+14)*100/60=55.0%

d)

as strength is factor to be considered therefore measurement btween 74.2 and 75.3 should be preferred

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