What is π is it a rational or irrational
2 answers:
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Remember some basic rules
and
![x^ \frac{m}{n}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7Bm%7D%7Bn%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
so
1/2-2/7=
7/14-4/14=
3/14
![x^ \frac{3}{14}= \sqrt[14]{x^3}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7B3%7D%7B14%7D%3D%20%5Csqrt%5B14%5D%7Bx%5E3%7D%20%20)
and
so
1/2-2/7=
7/14-4/14=
3/14
Answer:
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
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:
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
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.
The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.