Write a polynomial function in factored form with zeros at −2, 5, and 6.

1 answer:

3 0

The root -2 leads to the factor (x+2). The other 2 factors are (x-5) and (x-6).

Then the poly is f(x) = (x+2)(x-5)(x-6).

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Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: $\overline{x} \pm T\frac{s}{n}$

c) If $1411 is between the bounds of the interval yes, otherwise no.

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At item a, it asks to provide a point estimate for the population mean, which is the sample mean $\overline{x}$

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Item b:

In the spreadsheet, it is possible to find the standard deviation for the sample, thus, the t-distribution is used.
The confidence interval will be given by:

$\overline{x} \pm T\frac{s}{n}$

In which:

$\overline{x}$ is the sample mean.
T is the critical value, from the t-distribution, with a two-tailed area of $\frac{1 - 0.95}{2} = 0.025$ and n-1 degrees of freedom.
s is the standard deviation for the sample.
n is the sample size.