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Reinforcing steel bars were delivered at a construction site. A sample of 10 bars was tested for-assessing the yield strength, fy. The tests gave the following results (in MPa): 405 466 529 347 318 494 581 554 435 371 (a) Calculate the sample mean = f}, the sample variance (with the easiest method) = $3 , the sample standard deviation = sfy, and the coefcient of variation = vfy' Show your calculations in a table. (b) Construct a normal probability plot and check whether the random variable f5, can be reasonably assumed as normal. Show your calculations in a table. (c) Using the sample parameters found in (a), estimate the yield strength value fyk that has 5% of the population below it. This is called the \"characteristic\" value. (d) From the steel bar yield strength, fy, one can compute the punching strength, 1;, of a certain element, using the function (k = 0.10 is a constant): ' ' 9031): k 'fy Therefore, the punching strength fp is also arandom variable. Using the sample parameters found in (a), nd its sample mean f; and its-4 sample. standard deviation sfp