Answer:
A sample size of 21 is needed.
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 - 0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Using an estimated standard deviation of $11,605
This means that ![\sigma = 11605](https://tex.z-dn.net/?f=%5Csigma%20%3D%2011605)
What sample size do you need to have a margin of error equal to $5000 with 95% confidence
A sample size of n is needed. n is found when M = 5000. So
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![5000 = 1.96\frac{11605}{\sqrt{n}}](https://tex.z-dn.net/?f=5000%20%3D%201.96%5Cfrac%7B11605%7D%7B%5Csqrt%7Bn%7D%7D)
![5000\sqrt{n} = 1.96*11605](https://tex.z-dn.net/?f=5000%5Csqrt%7Bn%7D%20%3D%201.96%2A11605)
![\sqrt{n} = \frac{1.96*11605}{5000}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A11605%7D%7B5000%7D)
![(\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.96%2A11605%7D%7B5000%7D%29%5E2)
![n = 20.69](https://tex.z-dn.net/?f=n%20%3D%2020.69)
Rounding up,
A sample size of 21 is needed.
The methods for comparing rational numbers include:
- Cross-multiply and compare the products.
- Convert both fractions to fractions with a common denominator.
- Turn both fractions into decimals by dividing.
<h3>What is a rational number?</h3>
It should be noted that a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
Rational numbers are terminating decimals while irrational numbers are non-terminating and non-recurring.
Learn more about numbers on:
brainly.com/question/24368848
#SPJ1
Answer: 1/4 or 0.25
Step-by-step explanation: We will solve log256 4 in several steps to solve for x.
Step 1: Log256 4 = x
Step 2: 256x = 4 ( Next, Use exponents )
Step 3: (2^8)x = 2^2
Step 4: 2^8x = 2^2
Step 5: 8x = 2 (Solve for x0
Step 6: 8x/8 = 2/8 = x = 1/4
Step 7 (The Answer) x, or log256 4 = 1/4 or 0.25
Answer:
y = 2/7 or y = 14/25
Step by Step explanation:
sorry about the last answer
simplify both sides of the equation, then isolate the variable