Answer:
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Answer:
KwikFix
median: 9.00 mean: 11.1
MongoRama
median: 10.50 mean: 11.1
Step-by-step explanation:
The median is found by ordering the numbers least to greatest and the number in the middle is the median, which is how you find the median for the each company. For the mean you add up all of the workers wages and then divide it by the number of workers.
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $20.8 and $21.4.
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{1-0.8}{2} = 0.1](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.8%7D%7B2%7D%20%3D%200.1)
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 = 1.28](https://tex.z-dn.net/?f=z%20%3D%201.28)
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 = 1.28*\frac{10.4}{\sqrt{1858}} = 0.3](https://tex.z-dn.net/?f=M%20%3D%201.28%2A%5Cfrac%7B10.4%7D%7B%5Csqrt%7B1858%7D%7D%20%3D%200.3)
The lower end of the interval is the sample mean subtracted by M. So it is 21.1 - 0.3 = $20.8.
The upper end of the interval is the sample mean added to M. So it is 21.1 + 0.3 = $21.4.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $20.8 and $21.4.