The accompanying data on flexural strength (MPa) for concrete beams of a certain type wa...

The accompanying data on flexural strength (MPa) for concrete beams of a certain type was introduced in Example 1.2.

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: ∑_xi = 219.8.]

b. Calculate a point estimate of the strength value that separates 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: : ∑_x²_i = 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 σ/μ , and state which estimator you used.