Answer:
5.
Step-by-step explanation:
2[(8−4)5/8]
= 2[4*5 / 8]
= 2 * 2.5
= 5.
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:
![n=\frac{z^{2}\sigma^{2}}{e^{2}}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7Bz%5E%7B2%7D%5Csigma%5E%7B2%7D%7D%7Be%5E%7B2%7D%7D)
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:
![\sigma = 3.7 \Rightarrow \sigma^{2}=13.69](https://tex.z-dn.net/?f=%5Csigma%20%3D%203.7%20%5CRightarrow%20%5Csigma%5E%7B2%7D%3D13.69)
And we have that:
![e=2 \Rightarrow e^{2}=4](https://tex.z-dn.net/?f=e%3D2%20%5CRightarrow%20e%5E%7B2%7D%3D4)
<u>Now</u> we replace in the formula with the values we've just obtained:
![n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B1.96%5E%7B2%7D%2A13.69%7D%7B4%7D%3D13.1479%5Capprox%2014)
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.
Answer:
True
Step-by-step explanation:
The perimeter is the combined length of all the side lengths of a figure.