At appalachian state university it is known that 52% of undergraduates are female. if a sample of 150 undergraduate students was taken, which of the following would accurately describe the sampling distribution?
select all that apply.
select one or more:

a. the sampling distribution will be approximately normal.
b. the sampling distribution will be skewed right.
c. the sampling distribution will be skewed left. incorrect
d. the mean of the sampling distribution will be close to 52% correct
e. the mean of the sampling distribution will be close to 50%
f. we can not determine the mean of the sampling distribution from the given information.
g. the standard deviation of the sampling distribution will be 0.0408
h. the standard deviation of the sampling distribution will be 0.0017 incorrect
i. the standard deviation of the sampling distribution will be 0.4996.
j. we can not determine the standard deviation of the sampling distribution from the given information.

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

Step-by-step explanation:

For this problem the sample size is large enough (n>30), and then the sampling distribution would be approximately normal. The mean of the sampling distributions is given by

The expected value for the sampling distribution would be 0.52 since

And for the standard deviation we know that is given by:

So the correct answers on this case are:

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

i will pick c put check it over to be sure

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