Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30. The standard deviation of the sample mean differences is. (Round your answer to the nearest hundredth.)

The standard deviation of the sample mean is 16.98.

Explanation:

The standard deviation of the sample mean differences is given as by the difference of the 2 standard deviations. This is given as

Difference of standard deviations=21.2-17.6 = 3.6

Now the ratio of the difference to the largest standard difference is given as

Ratio=3.6/21.2=0.1698

Converting this into percentage as 0.1698x100=16.98

The standard deviation of the sample mean is 16.98.