Question

Suppose Julio is a veterinarian who is doing research into the weight of domestic cats in his city. He collects information on 131 cats and finds the mean weight for cats in his sample is 10.87 lb with a standard deviation of 4.31 lb. What is the estimate of the standard error of the mean (SE)? Please round your answer to two decimal places.

Answer 1

Answer:

SE = 0.38 lbs

Step-by-step explanation:

Standard error (SE) is defined as the standard deviation of the sample divided by the square root of sample size.

In Julio's research, the standard deviation was 4.31 lbs and the sample size was 131 cats. Therefore, the  standard error is:

$SE = \frac{\sigma}{\sqrt{n}} \\SE = \frac{4.31}{\sqrt{131}}\\SE=0.3766\ lbs$

The standard error, rounded to two decimal plates is 0.38 lbs