The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. suppose we take a random sample of 36 bottles filled by this machine. the sampling distribution of the sample mean has a standard error of 0.15

The amount of bleach a machine pours into bottles has a mean of 36 oz. With a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.15

The given statement "The sampling distribution of the sample mean has a standard error of 0.15" is false.

The sampling distribution of the sample mean is:

We are given:

The standard deviation,

Therefore, the sampling distribution of the sample mean has a standard error of 0.025.

Hence the given statement is false.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)