Question

a sample of 49 randomly selected fifth graders who took the same math test found that students scored an average of 89 points with a s standard deviation of 12.3 points. what is the standard error of mean(sem) rounded to 2 decimal places? your answer this is a required question

Explanation:

Step1: Recall the formula for SEM

The formula for the standard error of the mean is \(SEM=\frac{s}{\sqrt{n}}\), where \(s\) is the sample standard deviation and \(n\) is the sample size.

Step2: Substitute the given values

Given \(s = 12.3\) and \(n=49\). Since \(\sqrt{49}=7\), then \(SEM=\frac{12.3}{7}\).

Step3: Calculate the value

\(\frac{12.3}{7}=1.75714\cdots\)

Step4: Round to 2 decimal places

Rounding \(1.75714\cdots\) to 2 decimal places gives \(1.76\).

Answer:

\(1.76\)