a. Calculate a point estimate of the mean value of strength for the conceptual p

Question

a. Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion, and state which estimator you used. [Hint: SUMxi= 219.8.]

b. Calculate a point estimate of the strength value that sepa- rates the weakest 50% of all such beams from the strongest 50%, and state which estimator you used.

c. Calculate and interpret a point estimate of the population standard deviation s. Which estimator did you use? [Hint: SUMx^2i=1860.94 .]

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.]

e. Calculate a point estimate of the population coefficient of variation s/ m , and state which estimator you used."

1. The accompanying data on flexural strength MPa) for con crete beams of a certain type was introduced in Example 12 52 22 23 63 68 Z0 26 68 5 0 3 22 20 82 87 Z8 92 24 2Z 21

Explanation / Answer

(a) We can use Mean to get the required result = 219.8/27 = 8.14

(b) We can use Median to get the required result = The middle value of the observation as it separates the weakest 50% of all such beams from the strongest 50%.  

Median = 7.7

(c) Standard deviation = 1.6595

(d) Total observations = 27

Number of observations grater than 10 = 4

Proportion = 4/27 = 0.1481

(e) Variance = 2.7540

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