Solution :
Assuming ![$\sigma_1^2=\sigma_2^2$](https://tex.z-dn.net/?f=%24%5Csigma_1%5E2%3D%5Csigma_2%5E2%24)
We have to test
![$H_0:\mu_1=\mu_2$](https://tex.z-dn.net/?f=%24H_0%3A%5Cmu_1%3D%5Cmu_2%24)
Against ![H_a: \mu_1 \neq \mu_2](https://tex.z-dn.net/?f=H_a%3A%20%5Cmu_1%20%5Cneq%20%5Cmu_2)
Level of significance, ![$\alpha = 0.05$](https://tex.z-dn.net/?f=%24%5Calpha%20%3D%200.05%24)
![$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$](https://tex.z-dn.net/?f=%24s_p%3D%5Csqrt%7B%5Cfrac%7B%28n_1-1%29s_1%5E2%2B%20%28n_2-1%29s_2%5E2%7D%7Bn_1%2Bn_2-2%7D%7D%24)
![$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$](https://tex.z-dn.net/?f=%24s_p%3D%5Csqrt%7B%5Cfrac%7B%2825-1%29%28425%29%5E2%2B%20%2820-1%29%28415%29%5E2%7D%7B25%2B20-2%7D%7D%24)
= 420.6107
Under
, the t-statistics is as follows:
![$\text{t with }(n_1+n_2-2) \ DF$](https://tex.z-dn.net/?f=%24%5Ctext%7Bt%20with%20%7D%28n_1%2Bn_2-2%29%20%5C%20DF%24)
![$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$](https://tex.z-dn.net/?f=%24t%3D%5Cfrac%7B%287200-7087%29%7D%7B%28420.6107%29%5Csqrt%7B%5Cfrac%7B1%7D%7B25%7D%2B%5Cfrac%7B1%7D%7B20%7D%7D%7D%24)
= 0.90
DF = (25 + 20 - 2)
= 43
P-value of the test = 0.375
Since the p value is more than 0.05, we fail to reject our null hypothesis.
There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.
Answer:
(3,4) because only the y would change when it is being reflected over the x axis :)
Step-by-step explanation:
Step-by-step explanation:
I think b is 42 as well cause there are vertically opposite
ummm ....and c is (180- 42 because they are adjacent angles)
therefore b=42
c= 138
that is what I yhink sorry if it ain't the right answer
|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication
the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56
56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913