You want to know if high-school females score differently than high-school males on a standardized test. you take a random sample of 28 males and 27 females from high schools across the country and record their scores. which confidence interval would you use to analyze these data?

Step-by-step explanation:

Random sample size of males, n₁ = 28

Random sample size of males, n₂ = 27

Here,

If n₁ < 30 & n₂ < 30,

we use t-distribution

Therefore,

The confidence interval chosen will be

⇒

Here,

is mean of sample n₁

and,

is mean of sample n₂

s is the standard deviation

the value of 't' can be obtained from the standard t- distribution table

answer are

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1