Answer:
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 <u>first step</u> 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:
<u>Now</u> 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.