Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
s = 0.81
n = 31
![s^2=0.6561](https://tex.z-dn.net/?f=s%5E2%3D0.6561)
We need to find the 93% confidence interval to estimate the true standard deviation.
degrees of freedom = df = n-1=30
Here, α = 0.93
1-α=0.07
so, ![\dfrac{\alpha }{2}=\dfrac{0.07}{2}=0.035](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Calpha%20%7D%7B2%7D%3D%5Cdfrac%7B0.07%7D%7B2%7D%3D0.035)
and ![1-\dfrac{\alpha }{2}=1-0.035=0.965](https://tex.z-dn.net/?f=1-%5Cdfrac%7B%5Calpha%20%7D%7B2%7D%3D1-0.035%3D0.965)
So, we will use "Chi square distribution"
![\chi^2_{\frac{\alpha }{2},df}=45.455\\\\\chi^2_{1-\frac{\alpha }{2},df}=17.576](https://tex.z-dn.net/?f=%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2Cdf%7D%3D45.455%5C%5C%5C%5C%5Cchi%5E2_%7B1-%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2Cdf%7D%3D17.576)
So, the interval would be
![\sqrt{\dfrac{(n-1)s^2}{\chi^2_{\frac{\alpha }{2},df}}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2Cdf%7D%7D%7D%3C%5Csigma%3C%5Csqrt%7B%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B1-%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2Cdf%7D%7D%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B30%5Ctimes%200.6561%7D%7B45.455%7D%7D%3C%5Csigma%3C%5Csqrt%7B%5Cdfrac%7B30%5Ctimes%200.6561%7D%7B17.576%7D%7D%5C%5C%5C%5C%3D0.658%3C%5Csigma%3C1.058)
Hence, 93% confidence interval would be (0.6581,1.058).
Therefore, Option 'b' is correct.
Answer:
is the missing number
Step-by-step explanation: The missing number would have to determine what the ineqaulities are
Hope this helps
Answer:
44.36
Step-by-step explanation:
44.3551 ~ 44.36
Note: 2 decimal places is something like 9.55, 10.67 and etc. If your using 44.3551 to find out how to round off to two decimal places, focus on the 51 at the back of the number since that will be excluded from the answer.
(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°: base=(180-50)/2=65°
base is 50°: vertex= 180-2*50=80°
vertex 50 base 65; vertex 80, base 50
(2)base=180-130=50°
vertex=180-2*50=80°
base 50 vertex 80
Answer:
-7 + 8 > 5
Step-by-step explanation:
The left side
1
is less than the right side
5
, which means that the given statement is always true.
True