-1/2=3/2k+3/2
Rewrite the equation to have k on left side
3/2k+3/2=-1/2
Simplify 3/2k
3k/2+3/2=12
Move all terms not containing k to right side
3k/2=1/2-3/2
3k/2=-2
Multiply both sifmdes by 2
2(3k/2)=-2(2)
3k=-4
Divide both sides by 3 to get k alone
3k/3=-4/3
K= -4/3
Answer:
24.6 < μ < 27.2
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 the margin of error 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{3.8}{\sqrt{34}} = 1.3](https://tex.z-dn.net/?f=M%20%3D%201.96%5Cfrac%7B3.8%7D%7B%5Csqrt%7B34%7D%7D%20%3D%201.3)
The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Thank you