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Homework answers / question archive / Let x stand for the percentage of an individual student's math test score
Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent.
What is the standard deviation of the sampling distribution of sample means?
we know that for calculation of standard deviation of the sampling distribution of sample means
we use central limit thoerem;
μX = mean = 78%
μX = μX-
σX = standard deviation = 14% = 0.14
n = 64
σ-x = σx / √n
=0.14 / √64
= 0.14 / 8
=0.0175