Answer:
The answer is A (6y)(19n)
Step-by-step explanation:
20 units im shure i took the test'
Answer:
The 95% confidence interval is
The pivot function used is
Step-by-step explanation:
From the question we are told that
The data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
The sample size is ![n= 20](https://tex.z-dn.net/?f=n%3D%20%2020)
Given that the confidence level is 95% then the level of significance is
![\alpha = (100 - 95)\%](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%28100%20-%2095%29%5C%25)
![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%200.05)
The degree of freedom is mathematically represented as
![df = 20 -1](https://tex.z-dn.net/?f=df%20%3D%20%2020%20-1)
![df = 19](https://tex.z-dn.net/?f=df%20%3D%20%2019)
From the student t-distribution table the critical value of
is
![t_{\frac{\alpha }{2} , 19 } = 2.093](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%2C%20%2019%20%7D%20%3D%20%202.093)
The mean is mathematically represented as
![\= x = \frac{\sum x_i}{ n}](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5Cfrac%7B%5Csum%20x_i%7D%7B%20n%7D)
![\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5Cfrac%7B246%2B%20242%20%2B248%2B245%2B%20250%2B%20244%2B252%2B%20248%20%2B248%20%2B247%2B%20250%2B%20248%2B%20246%2B%20242%20%2B248%20%2B244%20%2B245%20%2B246%2B%20250%2B%20242%7D%7B20%7D)
![\= x = 246.6](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%20246.6)
The standard deviation is mathematically represented as
![\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum%20%28x_i%20-%20%20%5C%3D%20x%20%29%5E2%29%7D%7Bn%7D%20%7D)
![\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%5Csqrt%7B%5Cfrac%7B%28246-%20246.6%29%5E2%20%2B%28242-%20246.6%29%5E2%20%2B%28248-%20246.6%29%5E2%20%2B%20%28248-%20245%29%5E2%2B%7D%7B20%7D%20%7D%20%5C%20..)
![\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...](https://tex.z-dn.net/?f=%5C%20...%5Csqrt%7B%5Cfrac%7B%28250-246.6%20%29%5E2%2B%20%28244-%20246.6%29%5E2%2B%28252-%20246.6%29%5E2%2B%20%28248-%20246.6%29%5E2%2B%20%28248-%20246.6%29%5E2%2B%7D%7B20%7D%20%7D%20%5C%20...)
![\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%20%28245-246.6%29%5E2%2B%20%20%28246-246.6%29%5E2%2B%20%28%20246-246.6%29%5E2%20%2B%20%28%20250-246.6%29%5E2%2B%20%28%20242-246.6%29%5E2%20%2B%28%20246-246.6%29%5E2%2B%20%28%20242-246.6%29%5E2%20%7D%7B20%7D%20%7D)
![\sigma = 2.87411](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%202.87411)
The margin of error is mathematically represented as
![E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20%20t_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%2C%2019%7D%20%2A%20%20%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
![E = 2.093 * \frac{2.87411 }{\sqrt{20} }](https://tex.z-dn.net/?f=E%20%3D%20%202.093%20%2A%20%20%5Cfrac%7B2.87411%20%7D%7B%5Csqrt%7B20%7D%20%7D)
![E = 1.345](https://tex.z-dn.net/?f=E%20%3D%20%201.345)
The 95% confidence interval is mathematically represented as
![\= x - E < \mu < \= x + E](https://tex.z-dn.net/?f=%5C%3D%20x%20%20-%20%20E%20%20%3C%20%20%5Cmu%20%3C%20%5C%3D%20x%20%20%2B%20%20E)
=> ![245.6 - 1.345 < \mu](https://tex.z-dn.net/?f=245.6%20-%201.345%20%20%3C%20%20%5Cmu%20%3C245.6%20%2B%201.345)
=>
The pivot function used is
Answer:
13000
Step-by-step explanation:
If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000
One zero added is one power in scientific notation