Question

the high temperature in a city was measured on 10 different days. the mean temperature is found to be 42 degrees with a standard deviation of 5.6 degrees. what is the standard error of mean(sem)?
7.5
1.56
4.58
1.77
2.79

Explanation:

Step1: Recall the formula for SEM

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

Step2: Substitute the given values

Given \(s = 5.6\) and \(n=10\). Then \(SEM=\frac{5.6}{\sqrt{10}}\).

Step3: Calculate \(\sqrt{10}\)

We know that \(\sqrt{10}\approx3.16\).

Step4: Compute the SEM

\(SEM=\frac{5.6}{3.16}\approx1.77\)

Answer:

1.77