1. The followings are data on flexural strength (MPa) for concrete beams of a certain type. 5.9 6.3 6.3 6.5 6.8 6.8 7.0 7.0 7.2 7.3 7.4 7.6 7.7 7.7 7.8 7.8 7.9 8.1 8.2 8.7 9.0 9.7 9.7 10.7 11.3 11.6 11.8 n n (a) Compute Σx; and Σα. i=1 i=1 (b) State a suitable point estimator for the mean value of flexural strength for all such concrete beams and find a corresponding point estimate using the data given. (c) State a suitable point estimator for the flexural strength value that separates the weak- est 50% of all such concrete beams from the strongest 50% and find a corresponding point estimate using the data given.

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1. The followings are data on flexural strength (MPa) for concrete beams of a certain type.
7.2
5.9 6.3 6.3 6.5 6.8 6.8 7.0 7.0
7.3 7.4 7.6 7.7 7.7 7.8 7.8 7.9
8.1
8.2 8.7 9.0 9.7 9.7 10.7 11.3 11.6 11.8
n
n
(a) Compute Σx; and Συ
i=1
i=1
(b) State a suitable point estimator for the mean value of flexural strength for all such
concrete beams and find a corresponding point estimate using the data given.
(c) State a suitable point estimator for the flexural strength value that separates the weak-
est 50% of all such concrete beams from the strongest 50% and find a corresponding
point estimate using the data given.
(d) State a suitable point estimator for the proportion of all such concrete beams whose
flexural strength exceeds 10 MPa and find a corresponding point estimate using the
data given.
(e) State a suitable point estimator for the variance of flexural strength for all such concrete
beams and find a corresponding point estimate using the data given.
If rounding is required, round your answers to 4 decimal places.
Transcribed Image Text:1. The followings are data on flexural strength (MPa) for concrete beams of a certain type. 7.2 5.9 6.3 6.3 6.5 6.8 6.8 7.0 7.0 7.3 7.4 7.6 7.7 7.7 7.8 7.8 7.9 8.1 8.2 8.7 9.0 9.7 9.7 10.7 11.3 11.6 11.8 n n (a) Compute Σx; and Συ i=1 i=1 (b) State a suitable point estimator for the mean value of flexural strength for all such concrete beams and find a corresponding point estimate using the data given. (c) State a suitable point estimator for the flexural strength value that separates the weak- est 50% of all such concrete beams from the strongest 50% and find a corresponding point estimate using the data given. (d) State a suitable point estimator for the proportion of all such concrete beams whose flexural strength exceeds 10 MPa and find a corresponding point estimate using the data given. (e) State a suitable point estimator for the variance of flexural strength for all such concrete beams and find a corresponding point estimate using the data given. If rounding is required, round your answers to 4 decimal places.
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