![n_1=25, n_2=25\\ \bar{X_1}=35.5, \bar{X_2}=33\\ s_1=3, s_2=4](https://tex.z-dn.net/?f=%20n_1%3D25%2C%20n_2%3D25%5C%5C%20%5Cbar%7BX_1%7D%3D35.5%2C%20%5Cbar%7BX_2%7D%3D33%5C%5C%20s_1%3D3%2C%20s_2%3D4%20%20)
Pooled Combined Variance ![s_p=12.5](https://tex.z-dn.net/?f=%20s_p%3D12.5%20)
Test Statistic:
![t=\frac{\left(\bar{X_1}-\bar{X_2}\right)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B%5Cleft%28%5Cbar%7BX_1%7D-%5Cbar%7BX_2%7D%5Cright%29%7D%7Bs_p%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%7D%7D%20)
![t=\frac{\left(35.5-33\right)}{12.5\sqrt{\frac{1}{25}+\frac{1}{25}}}](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B%5Cleft%2835.5-33%5Cright%29%7D%7B12.5%5Csqrt%7B%5Cfrac%7B1%7D%7B25%7D%2B%5Cfrac%7B1%7D%7B25%7D%7D%7D%20)
![\left|t\right|=0.01414](https://tex.z-dn.net/?f=%20%5Cleft%7Ct%5Cright%7C%3D0.01414%20)
Degrees of freedom = ![n_1+n_2-2=25+25-2=48](https://tex.z-dn.net/?f=%20n_1%2Bn_2-2%3D25%2B25-2%3D48%20)
![\alpha =0.05](https://tex.z-dn.net/?f=%20%5Calpha%20%3D0.05%20)
![t-Critical =t_{\alpha /2, n_1+n_2-2}=t_{0.025, 48}=-2.0206 \\Table value=|t|=2.0206\\|t|=2.0206](https://tex.z-dn.net/?f=%20t-Critical%20%3Dt_%7B%5Calpha%20%2F2%2C%20n_1%2Bn_2-2%7D%3Dt_%7B0.025%2C%2048%7D%3D-2.0206%20%5C%5CTable%20value%3D%7Ct%7C%3D2.0206%5C%5C%7Ct%7C%3D2.0206%3C0.01414%20%20%20)
The table value is greater than the calculated value.
Thus we accept H0.
<span>I think you wanted to find p̂, or "p-hat". This is simply the proportion of the sample. So:
p̂ = 16/93 ~= 0.172
Hope this helps :)</span>
Answer:
The solution is (-2, 4)
Step-by-step explanation:
When finding the solution of system of equations, you need to find where both lines intersect.
In the graph shown, the light purple and dark purple line meet at (-2, 4).
Hope this helps!!
Answer:
Step-by-step explanation:
um
Answer:
364$
Step-by-step explanation:
you multiply 26 times 13 which equals 364