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
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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