0.668 is the greatest.
If you have trouble because they have different place values, you can just and a "0" and the end of the decimals and they will still have the same value. Just make sure to change it back before writing your final answer.
Answer:
Critical value is 1.318 and the confidence interval is 29.357 to 33.042
Step-by-step explanation:
n = 25
x = 31.2
s = 6.99
Degree of freedom = n-1= 25-1 =24
Confidence level = 0.8
So, α = 1- 0.8= 0.2
t critical = ![t_{\frac{\alpha}{2},df}=t_{\frac{0.2}{2},24}=t_{0.10,24}=1.318](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%2Cdf%7D%3Dt_%7B%5Cfrac%7B0.2%7D%7B2%7D%2C24%7D%3Dt_%7B0.10%2C24%7D%3D1.318)
Formula of confidence interval :
to
Confidence interval :
to
Confidence interval :
to
Hence critical value is 1.318 and the confidence interval is 29.357 to 33.042
Answer: the first one
Step-by-step explanation:
answer a
Answer:
![x=-18](https://tex.z-dn.net/?f=x%3D-18)
Step-by-step explanation:
<u>Given</u>
<u />![-x-x+11-2x=83](https://tex.z-dn.net/?f=-x-x%2B11-2x%3D83)
<u>Step 1: Combine Like Terms on LHS</u>
<u />![-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83](https://tex.z-dn.net/?f=-x-x%2B11-2x%3D83%5C%5C-2x%2B11-2x%3D83%5C%5C-4x%2B11%3D83)
<u>Step 2: Subtract 11 on both sides</u>
<u />![-4x+11=83\\-4x+11-11=83-11\\-4x=72](https://tex.z-dn.net/?f=-4x%2B11%3D83%5C%5C-4x%2B11-11%3D83-11%5C%5C-4x%3D72)
<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>
<u />![-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18](https://tex.z-dn.net/?f=-4x%3D72%5C%5C%5C%5C%5Cfrac%7B-4x%7D%7B-4%7D%3D%5Cfrac%7B72%7D%7B-4%7D%5C%5C%20%5C%5C%20x%3D-18)
<u>Final Answer</u>
<u />![x=-18](https://tex.z-dn.net/?f=x%3D-18)