Consider the accompanying data on flexural strength (MPa) for concrete beams of

Question

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type 6.0 6.3 10.7 6.8 6.3 7.9 7.2 79 7.8 11.3 6.8 8.1 9.7 9.0 7.0 7.07.7 9.7 7.1 11.8 8.3 7.4 11.68.7 6.5 7.3 7.7 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: £x, - 219.5.J (Round your answer to three decimal places.) MPa State which estimator you used. O p (b Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50% MPa O i

Explanation / Answer

Solution:- Given that values : 6.0,6.3,10.7,6.8,6.3,7.9,7.2,7.9,7.8,11.3,6.8,8.1,9.7,9.0,7.0,7.0,7.7,9.7,7.1,11.8,8.3,7.4,11.6,8.7,6.5,7.3,7.7

a) the point of the mean = sum of number/total number
= 219.6/27
= 8.133

=> option B. X-bar

b) 7.7 MPa.

=> option C.

c) point estimate standard deviation ? = 1.663

=> option A.The estimate describes the spread of the data.

=> option A. S

d) more than 10 = 4

p = 4/27 = 0.148

e) the population coefficent of variation = 1.663/8.133 = 0.2045

option D. S/X-bar

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