Answer:
woah what an coincidence
Step-by-step explanation:
i have this question on my exam lamoa
Answer:
<h3>
Bob walked faster than Ion.</h3>
Step-by-step explanation:
90/4=22.5
Ian - 1 mile in 22.5 minutes
2x60=120
60/2=30
120+30=150
150/7=21.43
Bob - 1 mile in 21.43
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
![\sigma_1 = 8.4](https://tex.z-dn.net/?f=%5Csigma_1%20%3D%208.4)
![\sigma_2 = 7.6](https://tex.z-dn.net/?f=%5Csigma_2%20%3D%207.6)
--- Null hypothesis
---- Alternate hypothesis
![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.05)
Solving (a): The test statistic
This is calculated as:
![z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Cbar%20x_1%20-%20%5Cbar%20x_2%7D%7B%5Csqrt%7B%5Cfrac%7B%5Csigma_1%5E2%7D%7Bn_1%7D%20%2B%20%5Cfrac%7B%5Csigma_2%5E2%7D%7Bn_2%7D%20%7D%7D)
So, we have:
![z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B104%20-%20106%7D%7B%5Csqrt%7B%5Cfrac%7B8.4%5E2%7D%7B80%7D%20%2B%20%5Cfrac%7B7.6%5E2%7D%7B70%7D%20%7D%7D)
![z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B104%20-%20106%7D%7B%5Csqrt%7B%5Cfrac%7B70.56%7D%7B80%7D%20%2B%20%5Cfrac%7B57.76%7D%7B70%7D%7D%7D)
![z = \frac{-2}{\sqrt{0.8820 + 0.8251}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B-2%7D%7B%5Csqrt%7B0.8820%20%2B%200.8251%7D%7D)
![z = \frac{-2}{\sqrt{1.7071}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B-2%7D%7B%5Csqrt%7B1.7071%7D%7D)
![z = \frac{-2}{1.3066}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B-2%7D%7B1.3066%7D)
![z = -1.53](https://tex.z-dn.net/?f=z%20%3D%20-1.53)
Solving (b): The p value
This is calculated as:
![p = 2 * P(Z < z)](https://tex.z-dn.net/?f=p%20%3D%202%20%2A%20P%28Z%20%3C%20z%29)
So, we have:
![p = 2 * P(Z < -1.53)](https://tex.z-dn.net/?f=p%20%3D%202%20%2A%20P%28Z%20%3C%20-1.53%29)
Look up the z probability in the z score table. So, the expression becomes
![p = 2 * 0.0630](https://tex.z-dn.net/?f=p%20%3D%202%20%2A%200.0630)
![p = 0.1260](https://tex.z-dn.net/?f=p%20%3D%200.1260)
Solving (c): With
, what is the conclusion based on the p value
We have:
![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.05)
In (b), we have:
![p = 0.1260](https://tex.z-dn.net/?f=p%20%3D%200.1260)
By comparison:
![p > \alpha](https://tex.z-dn.net/?f=p%20%3E%20%5Calpha)
i.e.
![0.1260 > 0.05](https://tex.z-dn.net/?f=0.1260%20%3E%200.05)
So, we fail to reject the null hypothesis.
Its 10.4if u need proof just ask :)
-√4 + √(-48) + √121 + √(-108)
= -√(2²) + √(-1 • 3 • 4²) + √(11²) + √(-1 • 2² • 3³)
= -2 + 4√3 i + 11 + 6√3 i
= 9 + 10√3 i