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# HOW DO WE CALCULATE THE STANDARD ERROR OF THE MEAN?

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Author: Christine Farr
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http://theperfecthomework.com/how-do-we-calculate-the-standard-error-of-the-mean/

1. How do we calculate the standard error of the mean?a.b.c.d.Sample standard deviation divided by square root of sample sizeSquare root of sample varianceSquare root of population varianceSample standard deviation divided by sample size2. Which of the following description of the standard error of the mean is correct?a. The standard error of the mean is the standard deviation of the sampling distributionof the meanb. The standard error of the mean is the squared variance of the sampling distribution ofthe meanc. Standard error is the sample standard deviationd. Standard error is the same with population standard deviation3. The sample standard deviation is 50, and the sample size is 400. What’s the standarderror of the mean? (Show work)4. Which of the following is correct according to the Central limit theorem?a. As the sample size increases, the sample distribution of the mean is closer to thepopulation distributionb. As the sample size increases, the sample distribution of the mean is closer to thenormal distribution regardless of whether or not the distribution of the population isnormalc. As the sample size increases, the sample distribution of the mean is closer to thenormal distribution but only when the distribution of the population is normald. As the sample size increases, the sample distribution of the mean is closer to thepopulation distribution regardless of whether or not the population distribution isnormal5. Imagine a high school of 1,000 students. The school administrator wants to know theaverage height of students in that school. However, he does not know if it makes adifference if he samples more students or less. Thus, your suggestion for him is:a.b.c.d.As you measure more students, the standard error will be smallerAs you measure more students, the average height will be smallerAs you measure more students, the variance of sample distribution will be biggerAs you measure more students, the standard deviation of the sample distribution willbe bigger.

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