Answer:
The point estimate for population mean is 8.129 Mpa.
Step-by-step explanation:
We are given the following in the question:
Data on flexural strength(MPa) for concrete beams of a certain type:
11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0
a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured
We use the sample mean,
as the point estimate for population mean.
Formula:
![Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Ctext%7BSum%20of%20all%20observations%7D%7D%7B%5Ctext%7BTotal%20number%20of%20observation%7D%7D)
![\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%20%5Cdfrac%7B%5Csum%20x_i%7D%7Bn%7D%20%3D%20%5Cdfrac%7B219.5%7D%7B27%7D%20%3D%208.129)
Thus, the point estimate for population mean is 8.129 Mpa.