Answer:
A
Step-by-step explanation:
Answer:
A sample size of at least 737 specimens is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.99}{2} = 0.005](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.99%7D%7B2%7D%20%3D%200.005)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 2.575](https://tex.z-dn.net/?f=z%20%3D%202.575)
Now, find the width M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
![M = 3, \sigma = 31.62](https://tex.z-dn.net/?f=M%20%3D%203%2C%20%5Csigma%20%3D%2031.62)
So:
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![3 = 2.575*\frac{31.62}{\sqrt{n}}](https://tex.z-dn.net/?f=3%20%3D%202.575%2A%5Cfrac%7B31.62%7D%7B%5Csqrt%7Bn%7D%7D)
![3\sqrt{n} = 81.4215](https://tex.z-dn.net/?f=3%5Csqrt%7Bn%7D%20%3D%2081.4215)
![\sqrt{n} = 27.1405](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%2027.1405)
![n = 736.60](https://tex.z-dn.net/?f=n%20%3D%20736.60)
A sample size of at least 737 specimens is required.
Symmetric Property of Equality
There is one line segment
Let the cost of pair of shoes is x.
So we can get price s by adding cost and sales tax.
Sales tax = 5% of cost
=
![\frac{5*x}{100} = \frac{x}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2Ax%7D%7B100%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B20%7D%20)
So the price of pair of shoes is modeled as given below
![s = x + \frac{x}{20}](https://tex.z-dn.net/?f=s%20%3D%20x%20%2B%20%20%5Cfrac%7Bx%7D%7B20%7D%20)
![s = \frac{20x + x}{20}](https://tex.z-dn.net/?f=s%20%3D%20%20%5Cfrac%7B20x%20%2B%20x%7D%7B20%7D%20)