Anonymous

# stats mean difference?

The American Veterinary Association claims that the annual cost of medical care for a dog has a mean of $100 with a standard deviation of $30, while the annual cost of care for a cat has mean $120 and standard deviation of $35.

Give the mean of the difference in annual cost between one cat and one dog (do as cat cost - dog cost). Enter as dollars to the nearest cent (i.e. 10.91)

### 1 Answer

Relevance

- AlanLv 71 month ago
when adding or subtracting

like distributions

the means add and subtract

and

the variance add.

(cat - dog) mean = 120-100 = $20.00

so the answer to your question is simply $20.00

or Twenty dollars

but the variance = 30^2 + 35^2 = 2125

new standard deviation = sqrt(variance) = sqrt( 2125) = $46.09772229

or $46.10 rounded to the nearest penny

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