The standard error of the mean, rounded to the nearest hundredth is 0.27
The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.
The square root of the sample size is divided by the standard deviation in order to obtain the Standard error of mean.
Always, standard error of mean will be smaller than standard deviation.
But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.
According to the question,
Population Mean=56.7
Standard Deviation=4.3
Sample Size=260
Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]
=4.3/16.1245
=0.27
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