MATH SOLVE

3 months ago

Q:
# 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:

Accepted Solution

A:

Answer: 1.75Step-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