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 differences should be calculated using the standard deviations of the two populations. In order to see how they differ, we need to first subtract them from each other, so: 21.2-17.6 = 3.6 We then divide this number with the first standard deviation as follows: 3.6/21.2 and multiply this answer by 100. Therefore, the standard deviation of the sample mean is 3.6/21.2 x 100 = 16.98.

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vtkarishma vtkarishma · Answer 2 · 2022-06-06T17:30:16+02:00

The standard deviation of the sample mean differences is 16.98.

What is population standard deviation?

It is defined to be the square root of the population variance of the vector. The sample standard deviation s is defined to the square root of the sample variance of the vector.

The standard deviation of the sample mean differences should be calculated using the standard deviations of the two populations. In order to see how they differ, we need to first subtract them from each other, so: 21.2-17.6 = 3.6 We then divide this number with the first standard deviation as follows: 3.6/21.2 and multiply this answer by 100. Therefore, the standard deviation of the sample mean is 3.6/21.2 x 100 = 16.98.

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