Answer:
The 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the difference between two population mean is:
![CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{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%20%28n-1%29%7D%5Ccdot%5Csqrt%7B%5Cfrac%7Bs_%7B1%7D%5E%7B2%7D%7D%7Bn_%7B1%7D%7D%2B%5Cfrac%7Bs_%7B2%7D%5E%7B2%7D%7D%7Bn_%7B2%7D%7D%7D)
Compute the value of sample means and sample standard deviations from the provided data.
![\bar x_{1}=3.142\\\\\bar x_{2}=3.882\\\\s_{1}=0.4396\\\\s_{2}=0.4283\\n_{1}=n_{2}=5](https://tex.z-dn.net/?f=%5Cbar%20x_%7B1%7D%3D3.142%5C%5C%5C%5C%5Cbar%20x_%7B2%7D%3D3.882%5C%5C%5C%5Cs_%7B1%7D%3D0.4396%5C%5C%5C%5Cs_%7B2%7D%3D0.4283%5C%5Cn_%7B1%7D%3Dn_%7B2%7D%3D5)
The critical value of <em>t</em> for 98% confidence level and (n - 1) = 4 degrees of freedom is:
![t_{\alpha/2, (n-1)}=t_{0.02/2, 4}=3.747](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%3Dt_%7B0.02%2F2%2C%204%7D%3D3.747)
Compute the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities as follows:
![CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{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%20%28n-1%29%7D%5Ccdot%5Csqrt%7B%5Cfrac%7Bs_%7B1%7D%5E%7B2%7D%7D%7Bn_%7B1%7D%7D%2B%5Cfrac%7Bs_%7B2%7D%5E%7B2%7D%7D%7Bn_%7B2%7D%7D%7D)
![=(3.142-3.882)\pm3.747\cdot\sqrt{\frac{0.4396^{2}}{5}+\frac{0.4283^{2}}{5}}\\\\=-0.74\pm 1.0285\\\\=(-1.7685, 0.2885)\\\\\approx (-1.77, 0.29)](https://tex.z-dn.net/?f=%3D%283.142-3.882%29%5Cpm3.747%5Ccdot%5Csqrt%7B%5Cfrac%7B0.4396%5E%7B2%7D%7D%7B5%7D%2B%5Cfrac%7B0.4283%5E%7B2%7D%7D%7B5%7D%7D%5C%5C%5C%5C%3D-0.74%5Cpm%201.0285%5C%5C%5C%5C%3D%28-1.7685%2C%200.2885%29%5C%5C%5C%5C%5Capprox%20%28-1.77%2C%200.29%29)
Thus, the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).
the answer is 10 cm
Step-by-step explanation:
pretty simple rlly
Find the Mean, Median, Mode & Range. If possible, round to the nearest tenth. 3, 8, 7, 2, 4, 8, 3, 4
Masja [62]
Answer:
Mean- 4.9
Median- 4
Mode- 3,4,8
Range- 6
Step-by-step explanation:
The mean of a sequence is the average amount. This is equal to all of the terms' sum divided by the number of terms. So, to find the mean add 2+3+3+4+4+7+8+8, which equals 39. Then, divide by 8 because that is the number of terms. Therefore, the mean is 4.9.
The median is the number in the middle of the sequence. To find the median order the sequence from least to greatest and find the middlemost number. In this case, that is 4.
The mode is the number that appears most often. In this sequence, 3, 4, and 8 all appear twice.
The range is the difference between the minimum and maximum. So, subtract 2 from 8 to get 6.
Well, when any equation has a 0 multiplied into it, the answer will be zero.
Anyway, √25 equals 5
√81 equals 9
9*5 = 45
45 * 0 = 0
I hoped I helped!
Answer:
what u need help with
cuz I can help u if u need help