The t value for a 95% confidence interval estimation with 24 degrees of freedom
(not the sample size n) is

a. 1.317836
b. 1.710882
c. 2.063899
d. 2.492159
e. 2.796939

c. 2.063899

Step-by-step explanation:

Assuming a confidence interval bilateral.

For this case the confidence is 95% so then the significance level is:

And

The degrees of freedom are given

So then we need to find a quantile on the t distribution with 24 degrees of freedom that accumulates 0.025 of the area on each tail, and we can use the following excel code:

"=T.INV(1-0.025,24)"

Or equivalently "=T.INV.2T(0.05,24)"

And we got

So the best option is:

c. 2.063899

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: