A Table of Values for Functions F and G near X

question 128

Short Answer

A table of values for functions F and G near x = 3 is given below.If H(x)= F(x)/G(x), estimate H'(3)by using the quotient rule and then using right-hand estimates for $F ^ { \prime }$ and $G ^ { \prime }$ .Round to 2 decimal places.
$$\begin{array} { c c c c } x & 2.9 & 3.0 & 3.1 \\F ( x ) & 7.7 & 8 & 8.3 \\G ( x ) & 2.2 & 2 & 1.8\end{array}$$

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Definitions:

Z-test

A method of statistical analysis that evaluates whether there is a significant difference between the means of two populations, given known variances and a large sample size.

µ = 109

Represents the mean (µ) of a dataset or distribution, here specifically stated as 109.

Z-statistic

A specific kind of norm score that shows the number of standard deviations by which an individual item deviates from the distribution's average.

Critical Value

The threshold in a statistical test that defines the boundary for rejecting the null hypothesis.