Afootball coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. after a month of games, he analyzes their playing stats. he concludes the protein bar improve their performance on the field. how can the coach test the means to be sure the results are not likely to happen by chance?

a. he can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.
b. he can pick players at random and analyze their playing stats without calculating means.
c. he can analyze the two groups by calculating the means and the difference of the means.
d. he can pick the players he wants to analyze based on the best stats.

The answer is option A.

Step-by-step explanation:

How can the coach test the means to be sure the results are not likely to happen by chance?

A.He can re randomize the results by separating the two groups randomly, then calculate the means and the difference of the means. (This is because, in statistical data, it cannot happen by chance. It has to be a valid occurrence, nothing by chance.)

A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.

Step-by-step explanation:

He can randomize again the players that are receiving the bar and those who are not, and then after that he can see if the results from the previous experiment were accurate or if they happened just by chance. In this way he can make sure that if the results with this two new groups after randomizing are the same that the bar is actually improving the players an edge on performance.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

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