680 exponent 3. you have to multiply and divide so..... yea
Answer:
![3.13](https://tex.z-dn.net/?f=3.13%3C%5Csigma%5E2%20%3C%204.91)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =
![\chi^2_{1-\frac{\alpha}{2}}= 51.770](https://tex.z-dn.net/?f=%5Cchi%5E2_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D%2051.770)
Chi square critical value for upper tail =
![\chi^2_{\frac{\alpha}{2}}= 81.085](https://tex.z-dn.net/?f=%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D%2081.085)
80% confidence interval:
![\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28n-1%29S%5E2%7D%7B%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%7D%20%3C%20%5Csigma%5E2%20%3C%20%5Cdfrac%7B%28n-1%29S%5E2%7D%7B%5Cchi%5E2_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%7D)
Putting values, we get,
![=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%2867-1%293.85%7D%7B81.085%7D%20%3C%20%5Csigma%5E2%20%3C%20%5Cdfrac%7B%2867-1%293.85%7D%7B51.770%7D%5C%5C%5C%5C%3D3.13%3C%5Csigma%5E2%20%3C%204.91)
Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.
25 root 3 divided by 2
Base is 5. Height is 5 root 3
Multiply then divide by 2
It should be A. 46 because 46-16=30 which means 3•10+16=46. So it is A
Answer: 3.14
Step-by-step explaination: worry this is it i got you