Answer: 10%
Step-by-step explanation:
30/3 = 10
Answer:
The 80% confidence interval for difference between two means is (0.85, 1.55).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for difference between two means is:
![CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}](https://tex.z-dn.net/?f=CI%3D%28%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%29%5Cpm%20t_%7B%5Calpha%2F2%2C%28n_%7B1%7D%2Bn_%7B2%7D-2%29%7D%5Ctimes%20SE_%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D)
Given:
![\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25](https://tex.z-dn.net/?f=%5Cbar%20x_%7B1%7D%3DM_%7B1%7D%3D6.1%5C%5C%5Cbar%20x_%7B2%7D%3DM_%7B2%7D%3D4.9%5C%5CSE_%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D%3D0.25)
Confidence level = 80%
![t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20%28n_%7B1%7D%2Bn_%7B2%7D-2%29%7D%3Dt_%7B0.20%2F2%2C%20%285%2B5-2%29%7D%3Dt_%7B0.10%2C8%7D%3D1.397)
*Use a <em>t</em>-table for the critical value.
Compute the 80% confidence interval for difference between two means as follows:
![CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)](https://tex.z-dn.net/?f=CI%3D%286.1-4.9%29%5Cpm%201.397%5Ctimes%200.25%5C%5C%3D1.2%5Cpm%200.34925%5C%5C%3D%280.85075%2C%201.54925%29%5C%5C%5Capprox%280.85%2C%201.55%29)
Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).
Answer:
Before Tim ate any of the jellybeans, here are numbers:
pineapple or p =10
raspberry or r = 10
orange or o = 10
Tim has eaten 6 orange and 4 pineapple jellybeans. Hence, what's left are:
p = 10-4 =6
o = 10-6 =4
r = 10 so now total jelly beans are 20
So the probability of getting a raspberry is:
p(r) = number of r/total
10/20 or 50%
For this case we must find the domain of the following function:
![y = ln (x + 2)](https://tex.z-dn.net/?f=y%20%3D%20ln%20%28x%20%2B%202%29)
By definition, the domain of a function is given by all the values for which the function is defined.
In this case, the argument of the expression must be greater than 0 to be defined.
![x + 2> 0\\x> -2](https://tex.z-dn.net/?f=x%20%2B%202%3E%200%5C%5Cx%3E%20-2)
Thus, the domain of the function is given by all the values of x greater than -2.
Answer:
Domain: ![x> -2](https://tex.z-dn.net/?f=x%3E%20-2)