1 kg = 0.001 metric tons..so 14327 kg = (14327 * 0.001) = 14.327 metric tons
and if 1 metric tons saves 17 trees....then 14.327 tons saves : 14.327 * 17 = 243.559 saved trees...and since u cant have 0.559 trees, u would round to 243 trees
I think you meant to type
4(n)-5=7.
4n = 7 + 5
4n = 12
n = 12/4
n = 3
Weather I think I'm not sure
A number that has a negative sign in front of it, opposite from positive numbers, and below zero are all phrases that can describe negative numbers.
Hope this helps.
Answer:
a
The point estimate of the population mean is ![\= x = 56](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%2056)
b
The 80% confidence level is ![50.57 < \mu < 61.43](https://tex.z-dn.net/?f=50.57%20%3C%20%20%5Cmu%20%20%3C%2061.43)
c
There is 80% confidence that the true population mean lies within the confidence interval.
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The standard deviation is ![\sigma = 18 \ L](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2018%20%5C%20L)
The sample mean is ![\= x = 56](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%2056)
Generally the point estimate of the population mean is equivalent to the sample mean whose value is ![\= x = 56](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%2056)
Given that the confidence interval is 80% then the level of significance is mathematically represented as
![\alpha = 100 - 80](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%20100%20-%20%2080)
![\alpha = 20 \%](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%2020%20%5C%25)
![\alpha = 0.20](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.20)
Next we obtain the critical value of
from the normal distribution table
The value is ![Z_{\frac{ \alpha }{2} } = 1.28](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%20%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%201.28)
Generally the margin of error is mathematically evaluated as
![E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
=> ![E = 1.28 * \frac{18 }{\sqrt{18} }](https://tex.z-dn.net/?f=E%20%3D%20%201.28%20%2A%20%5Cfrac%7B18%20%7D%7B%5Csqrt%7B18%7D%20%7D)
=> ![E = 5.43](https://tex.z-dn.net/?f=E%20%3D%20%205.43)
Generally the 80% confidence interval is mathematically represented as
![\= x - E < \mu < \= x + E](https://tex.z-dn.net/?f=%5C%3D%20x%20%20-%20E%20%20%3C%20%20%5Cmu%20%20%3C%20%5C%3D%20x%20%20%2B%20E)
=> ![56 - 5.43 < \mu < 56 + 5.43](https://tex.z-dn.net/?f=56%20%20-%205.43%20%20%3C%20%20%5Cmu%20%20%3C%2056%20%20%2B%205.43)
=> ![50.57 < \mu < 61.43](https://tex.z-dn.net/?f=50.57%20%3C%20%20%5Cmu%20%20%3C%2061.43)
The interpretation is that there is 80% confidence that the true population mean lies within the limit