Suppose Julio is a veterinarian who is doing research into the weight of domestic cats in his city. He collects information on 174 cats and finds the mean weight for cats in his sample is 10.75 lb with a standard deviation of 4.30 lb. What is the estimate of the standard error of the mean (SE)

Respuesta :

Answer:

The standard error of the mean (SE) is of 0.326lb.

Step-by-step explanation:

The standard error of the mean is given by the following formula:

[tex]SE = \frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

In this problem, we have that:

[tex]s = 4.3, n = 174[/tex]

Then

[tex]SE = \frac{s}{\sqrt{n}} = \frac{4.3}{\sqrt{174}} = 0.326[/tex]

The standard error of the mean (SE) is of 0.326lb.