Arandom sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. we want to determine if the average age of all the students at the university is significantly more than 24. assume the distribution of the population of ages is normal. the p-value is between
(a) .005 to .01
(b) .01 to .025
(c) .025 to .05
(d) .05 to .10

P value is  =  0.0228

option b is correct .01 to .025

Step-by-step explanation:

given data

sample n = 16 students

mean  = 25 years

standard deviation SD = 2 years

to find out

p-value

solution

first we find value of Z that is

Z = mean +  ( 1 - mean ) / (SD /√n)

put all value

Z = 25 - 24 / (2 /√16)

Z = 2

so p value for P(Z 2.0 ) from Z table

P value is  =  0.0228

so option b is correct

5

step-by-step explanation:

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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