Refer back to the Think About It... when Best Buy sells a Samsung 32" flat screen television for $219.99, what does the 32” repr
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Answer:
The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.
In a random sample of 300 boards the number of defective boards was 12.
Compute the sample proportion of defective boards as follows:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The critical value of <em>z</em> for 95% confidence level is,
*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:
Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let . Its vertex can be found on the coordinates
such that
and
, in which
.
Using the coefficients given by the question, we get that:
Thus, we have:
So the statement is true, because the coordinate of the vertex of the function is equal to