Question at position 10 A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12, respectively. Calculate the standard error of the mean and identify the final answer. NOTE: Please provide your calculation and final answer in separate blank spaces. The calculation is: Question Blank 1 of 2[input] The final answer is: Question Blank 2 of 2[input]多项填空题
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Question

Question at position 10 A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12, respectively. Calculate the standard error of the mean and identify the final answer. NOTE: Please provide your calculation and final answer in separate blank spaces. The calculation is: Question Blank 1 of 2[input] The final answer is: Question Blank 2 of 2[input]多项填空题

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BlackTom AI · Accepted Answer

The problem asks for the standard error of the mean (SEM) for a simple random sample. 
First, recall the formula: SEM = s / sqrt(n), where s is the sample standard deviation and n is the sample size.
In this case, s = 12 and n = 100. 
Compute sqrt(n): sqrt(100) = 10. 
Then divide s by sqrt(n): 12 / 10 = 1.2. 
Thus, the calculation for the first blank should show 12 / sqrt(100), and the resulting value for the second blank is 1.2. 
Common pitfalls to avoid: using the sample mean as the standard error, or dividing by n instead of sqrt(n); both would yield incorrect SEM values. 
Here, the correct approach is to divide the standard deviation by the square root of the sample size, as demonstrated above.