A random sample of 36 trucks traveling on a section of an interstate showed an average speed of 71 mph. The distribution of speeds of all trucks on this section of highway is normally distributed with a standard deviation of 10.5 mph. The value to use for the standard error of the mean is:

Respuesta :

Answer: 1.75

Step-by-step explanation:

The formula to find the standard error is given by :-

[tex]S.E.=\dfrac{\sigma}{\sqrt{n}}[/tex]

Given : The sample size : n = 36

The distribution of speeds of all trucks on this section of highway is normally distributed with standard deviation : [tex]\sigma=10.5\text{ mph}[/tex]

Then , the standard error of the mean  will be :-

[tex]S.E.=\dfrac{10.5}{\sqrt{36}}=1.75[/tex]

Hence, the value to use for the standard error of the mean is : 1.75

Q&A Education