Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.7 7.2 10.7 7.4 8.7 6.5 6.8 7.0 9.7 11.3 7.5 6.8 5.9 7.9 6.3 8.2 6.3 9.7 11.6 7.8 7.7 9.0 7.3 11.8 7.0 8.2 8.1 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 220.1.] (Round your answer to three decimal places.)

8.152.

Explanation:

The "point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion" that we are told to calculate is very direct. What we is only require of us is to find the average of the whole values of x that is;

7.7 + 7.2 + 10.7 + 7.4 + 8.7 + 6.5 + 6.8 + 7.0 + 9.7 + 11.3 + 7.5 + 6.8 + 5.9 + 7.9 + 6.3 + 8.2 + 6.3 + 9.7 + 11.6 + 7.8 + 7.7 + 9.0 + 7.3 + 11.8 + 7.0 + 8.2 + 8.1 = 220.1

So, the addition of all the x-values gives 220.1. The average = 220.1/ n.

Where n = total numbers of x entry = 27.

Therefore, 220.1/ 27 = 8.152.

Hence, "point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion" = 8.152 to three decimal places.

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