Question

Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2. Samples of size 100 from Population 1 with mean 90 and standard deviation 11 and samples of size 85 from Population 2 with mean 71 and standard deviation 15 Round your answer for the standard error to two decimal places. standard error = Enter your answer in accordance to the question statement

Answer 1

Using the Central Limit Theorem, the standard error of the distribution of differences in sample means is of 1.97.

What is the standard error for each sample?

According to the Central Limit Theorem, it is given by the standard deviation of the sample divided by the square root of the sample size, hence:

• s1 = 11/sqrt(100) = 1.1.

• s2 = 15/sqrt(85) = 1.63.

What is the square root of the distribution of differences?

It is given by the square root of the sum of the standard errors of each sample squared, hence:

s = sqrt(1.1² + 1.63²) = 1.97.

More can be learned about the Central Limit Theorem at brainly.com/question/16695444

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