Answer:
The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.
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%7B1-0.95%7D%7B2%7D%20%3D%200.025)
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 = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find 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.
![M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B13.5%7D%7B%5Csqrt%7B34%7D%7D%20%3D%204.54)
The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.
The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.
The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.
Hello!
LCM stands for "Least Common Denominator."
The LCM is the smallest common multiple of two numbers.
To find the LCM of 6 and 8, follow these easy steps.
1. Find the prime factorization of both numbers.
6 = 2 × 3
8 = 2 × 2 × 2
Next, multiply each factor the number of times we did above.
LCM = 2 × 2 × 2 × 3
LCM = 24
ANSWER:
The LCM of 6 and 8 is 24.
Hello!
I will post the graph of the function y = 1/2tan(x) below.
Using this graph, the answer is false. Why? The graph below is graphed at (π, 0) and (-π, 0), while this graph is not graphed at those points. Therefore, it is false.