Suppose the distribution of the daily calcium intake of Americans is left skewed with a mean of 800 mg and a standard deviation of 16 mg. What can we say about the sampling distribution of distribution X?

Central limit theorem

Step-by-step explanation:

By central limit theorem. The sampling distribution will have the same mean as the original distribution.

The sampling distribution will have a standard deviation of  , so it cannot be a fixed 16.  Also,the normal approximation improves with increasing sample size.

Therefore, the correct answer about the sampling distribution of distribution X

is central limit theorem.

i think the answer is b. i hope i !

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal