Question

For a population with a mean equal to 100 and a standard deviation equal to 25 , caiculate the standard error of the mean for the following sample sizes

a) 15
b) 40
c) 65

Answer 1

The standard error of the mean can be calculated using the formula: Standard Error = Standard Deviation / Square Root of Sample Size.

Step-by-step explanation:

For a population with a mean equal to 100 and a standard deviation equal to 25, the standard error of the mean can be calculated using the formula:

Standard Error = Standard Deviation / Square Root of Sample Size

a) For a sample size of 15, the standard error of the mean would be 25 / √15, which is approximately 6.45.

b) For a sample size of 40, the standard error of the mean would be 25 / √40, which is approximately 3.95.

c) For a sample size of 65, the standard error of the mean would be 25 / √65, which is approximately 3.12.