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Sample Z-Score and Standard ErrorConsidering the population has a mean of 350 and a standard deviation of 90, and you get a sample mean of 370.16 for a sample size of 36, what will be the standard deviation of the distribution of sample means?9.721.34153.83

Question

Sample Z-Score and Standard ErrorConsidering the population has a mean of 350 and a standard deviation of 90, and you get a sample mean of 370.16 for a sample size of 36, what will be the standard deviation of the distribution of sample means?9.721.34153.83

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Solution

The standard deviation of the distribution of sample means, also known as the standard error, can be calculated using the formula:

Standard Error = Population Standard Deviation / sqrt(Sample Size)

Given that the population standard deviation is 90 and the sample size is 36, we can substitute these values into the formula:

Standard Error = 90 / sqrt(36)

Solving the above gives:

Standard Error = 90 / 6 = 15

So, the standard deviation of the distribution of sample means is 15.

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