The standard deviation of political tolerance (measured on a 10 point scale) in a sample of 27 adults is 3.6. the sample mean is 7.4. test the null hypothesis that this sample is drawn from a population with a mean of 8.5 on the political tolerance measure (at α= .01).

We can conclude that sample is drawn from a population with a mean of 8.5 on the political tolerance measure at α= .01 (accept the null hypothesis)

Step-by-step explanation:

: mu=8.5

: mu≠8.5

Test statistic can be calculated using the equation:

t= where

Then t =  ≈−1.588

t-critical at  α= .01 and 26 degrees of freedom is 2.779

Since |t|=1.588 < 2.779, the result is not significant, we fail to reject the null hypothesis.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

87%

step-by-step explanation:

apex answer