In: Statistics and Probability
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
7.9 | 6.5 | 6.3 | 8.0 | 7.7 | 5.0 | 6.8 |
8.1 | 7.3 | 7.7 | 6.3 | 7.8 | 10.7 | 7.1 |
11.8 | 7.0 | 11.3 | 11.6 | 6.8 | 7.4 | 9.7 |
9.7 | 7.2 | 7.9 | 7.0 | 9.0 | 8.7 |
(a) Calculate a point estimate of the mean value of strength for
the conceptual population of all beams manufactured in this
fashion. [Hint: Σxi = 218.3.] (Round
your answer to three decimal places.)
_________MPa
(b) Calculate a point estimate of the strength value that
separates the weakest 50% of all such beams from the strongest
50%.
__________MPa
(c) Calculate a point estimate of the population standard
deviation σ. [Hint:
Σxi2 = 1842.11.] (Round your answer
to three decimal places.)
___________MPa
(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.)
Answer:
(e) Calculate a point estimate of the population coefficient of variation σ/μ. (Round your answer to four decimal places.)
Answer: