Answer:
0.85
Step-by-step explanation:
To find the standard error of the mean (SEM), we can use the formula:
[tex] \Large\boxed{\boxed{\textsf{SEM} = \dfrac{\textsf{standard deviation}}{\sqrt{\textsf{sample size}}}}} [/tex]
Given:
- Standard deviation ([tex]\sigma[/tex]) = 6
- Sample size ([tex]n[/tex]) = 50
in the values:
[tex] \textsf{SEM} = \dfrac{6}{\sqrt{50}} [/tex]
Substitute the value and simplify:
[tex] \textsf{SEM} = \dfrac{6}{\sqrt{50}} \\\\ \approx \dfrac{6}{7.07106781187} \\\\ \approx 0.848528137424 \\\\ \approx 0.85 \textsf{( in nearest hundreth)} [/tex]
Therefore, the standard error of the mean is approximately [tex]0.85[/tex].
