The sampling distribution has a mean of 0.03 and a standard error of 0.007. The researchers' sample mean comes back at 0.026. In other words, only 2.6% of the children on the drug experienced food allergies in their youth. What is the z-score for this sample mean?

z = -0.57

Step-by-step explanation:

A z-score indicates how much away is something from the mean so it can be more(above) than the mean or less(below) than the mean.

sampling distribution mean = 0.03

standard error = 0.007

researcher's sample mean = 0.026

z = (0.026 - 0.03)/0.007

z = (-0.004)/0.007

z = -0.57

So that means the researcher's sample mean is 0.57 standard deviation below the sampling distribution mean.

The negative sign above is the indicator of below the mean value.

the distance between point a and point b is 6 units