The average salary for new college graduates with the job is $50,556. A particular University wants to claim his graduates earn more than average. To test this claim they randomly select 100 of their new graduates to find that their average salary is $53,200 with a standard deviation of $10,200. What conclusion should the draw?

Given:

Null hypothesis: the average salary for new college graduates with a job is $50,556.

Alternative hypothesis: the graduates from a university earn more than that average.

Using the z-test:

=> Calculate the value of test statistic:

t = (mean of sample - mean of null hypothesis)/(std/sqrt(number of sample)

 = (53200 - 50556)/(10200/sqrt(100))

 = 2.592 > 1.645

=> Reject the null hypothesis, their graduates earn more than average

Hope this helps!

:)

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answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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