Answer :
The standard error of the sample mean is 3.85 (option d), indicating the average amount of deviation between the sample mean and the population means in the study of commuting times in Clairmont.
The standard error of the sample mean is a measure of the variability or dispersion of the sample mean from the true population mean. It represents the average amount of error that can be expected when estimating the population mean based on a sample.
To calculate the standard error of the sample mean, we use the formula:
Standard Error = Standard Deviation / √(Sample Size)
In this case, the standard deviation is given as 27.2, and the sample size is 50. Plugging these values into the formula, we get:
Standard Error = 27.2 / √50 = 3.85
Therefore, the standard error of the sample mean is approximately 3.85. This indicates the average amount of deviation we can expect between the sample mean and the population mean.
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