California is 0.5 minutes. To investigate the validity of this claim a random sample of 6 earthquakes were taken and the sample mean and the sample standard deviation were 1.15 and 0.308 and minutes, respectively. Construct a 98% confidence interval and determine if the researcher`s claim can be rejected. g

98% confidence interval for the mean is

(0.72689 , 1.57311)

Step-by-step explanation:

Given random sample size 'n' = 6

Given sample mean x⁻ = 1.15

Given sample standard deviation 'S' = 0.308

98% confidence interval for the mean is determined by

Degrees of freedom ν =n-1 =6-1 =5

Critical value : -

98% confidence interval for the mean is determined by

On calculation , we get

( 1.15 - 0.42311 , 1.15+ 0.42311)

(0.72689 , 1.57311)

Final answer:-

98% confidence interval for the mean is

(0.72689 , 1.57311)

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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