Question

the average amount of garbage waste generated in 25 homes is 39.25 with a standard deviation of 14.15. what is the standard error of mean(sem)?
0.566
1.57
2.83
7.85
3.58

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 standard deviation and \( n \) is the sample size.

Step2: Substitute the given values

Given \( s = 14.15 \) and \( n=25 \). Then \( SEM=\frac{14.15}{\sqrt{25}} \).
Since \( \sqrt{25}=5 \), we have \( SEM=\frac{14.15}{5} \).

Step3: Calculate the value

\( 14.15\div5 = 2.83 \)

Answer:

2.83