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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)

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Answer:

Estimate of the standard error of the mean = 0.38 lb

Step-by-step explanation:

We are given the following in the question:

Sample mean, [tex]\bar{x}[/tex] = 10.87 lb

Sample size, n = 131

Standard deviation, σ = 4.31 lb

We have ti find the estimate of the standard error of the mean.

Formula for standard error:

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

Putting values, we get,

[tex]S.E = \dfrac{4.31}{\sqrt{131}} = 0.3766 \approx 0.38[/tex]

0.38 lb is the standard error of the mean.

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