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Consider the accompanying data on exural strength (MPa) for concrete beams ofa certain type. 8.1 6.3 7.0 7.0 6.8 7.2 6.3 7.4 8.7 6.8 6.5
Consider the accompanying data on exural strength (MPa) for concrete beams ofa certain type. 8.1 6.3 7.0 7.0 6.8 7.2 6.3 7.4 8.7 6.8 6.5 7.7 9.0 11.8 11.6 7.7 7.9 8.1 8.3 9.7 10.7 5.9 7.3 9.7 7.3 11.3 7.6 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint 2x1. = 2193.] (Round your answer to three decimal places.) State which estimator you used. Os (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. State which estimator you used. O (c) Calculate a point estimate of the population standard deviation 9 [Hint EXJZ : 1562.89 ] (Round your answer to three decimal places.) Interpret this point estimate. 0 This estimate describes the linearity of the data. 0 This estimate describes the bias of the data C This estimate describes the center of the data. 0 This estimate describes the spread of the data. Which estimator did you use? 0 )7 (d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.) E (e) Calculate a point estimate of the population coefficient of variation d/p. (Round your answer to four decimal places.) E State which estimator you used. 0 0 s I ; O )7 O 5 OX
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