Suppose the average math SAT score for students enrolled at local community college is 490.4 with a standard deviation of 63.7. A random sample of 49 students has been selected. The standard error of the mean for this sample is
A) 10.6
B) 9.1
C) 63.7
D) 28.4

The standard error of the mean for this sample is 9.1.

Step-by-step explanation:

We are given that the average math SAT score for students enrolled at local community college is 490.4 with a standard deviation of 63.7.

A random sample of 49 students has been selected.

Since we know that the confidence interval is created by the given formula;

Suppose we have to calculate 95% confidence interval;

So, 95% Confidence interval = Sample mean Margin of error

where, Sample mean = = 490.4

Margin of error =

Here, = standard deviation = 63.7

          n = sample of students = 49

So, Standard error formula is given by =

                                                                  = = 9.1

Therefore, standard error of the mean for this sample is 9.1.

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