The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. if we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

The first step is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, .

Therefore we look for the critical value .

Then we calculate the variance:

And we have that:

Now we replace in the formula with the values we've just obtained:

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

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step-by-step explanation:

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