ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
Which can be rewritten as
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
The quadratic formula is given by;
We now substitute all the values in to the formula;
We simplify to obtain;
We now split the plus or minus sign to obtain;
This implies that;
Or
This will evaluate to;
Hence, the positive solution rounded to the nearest hundredth is
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:
Thus, the point estimate for population mean is 8.129 Mpa.