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Let x stand for the percentage of an individual student's math test score

Math Aug 04, 2020

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?

Expert Solution

we know that for calculation of standard deviation of the sampling distribution of sample means

we use central limit thoerem;

μX mean = 78%

μ= μX-

σX = standard deviation = 14% = 0.14

n = 64

σ-= σx / √n

=0.14 / √64

= 0.14 / 8

=0.0175

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