Question

Determine the sampling error if the grade point average for 10 randomly selected students from a class of 125 students has a mean of x=2.4. Assume the grade point average of the 125 students has a mean of 3.1

Answer 1

The sampling error is calculated by subtracting the population mean from the sample mean, which gives a result of -0.7, indicating the sample mean is underrepresented by 0.7.

Step-by-step explanation:

The student asked to determine the sampling error when the mean of a sample of 10 students is 2.4 and the mean of the entire class of 125 students is 3.1. The sampling error is the difference between the sample mean and the population mean. In this case, the sampling error can be calculated as follows:

Sampling Error = Sample Mean - Population Mean

Sampling Error = 2.4 - 3.1

Sampling Error = -0.7

Thus, the sampling error is -0.7. This indicates that the sample mean is 0.7 points lower than the population mean.