Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11.
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{36}{\sqrt{150}} = 9.11](https://tex.z-dn.net/?f=M%20%3D%201.96%5Cfrac%7B36%7D%7B%5Csqrt%7B150%7D%7D%20%3D%209.11)
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Answer:
i think 77
Step-by-step explanation:
Answer:
7x^3y^2 + 14x^2y^3 - 35x^2y^2
Step-by-step explanation:
What is the range of 19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13
Anna [14]
Step-by-step explanation:
Range is when biggest number minus smallest number
19-0=19
Answer: 19