18 9/11 +8 11/14 +21 2/11 + 15 3/14
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Answer:
From the given data, there is not enough evidence to prove that there is a statistically significant difference between the two population means
Step-by-step explanation:
The number of younger moms, in the study = 837
The average weight gain of younger moms, ₁ = 30.67 pounds
The standard deviation of the weight gain of younger moms, s₁ = 14.69 pounds
(30.67 - 28.52)/√((14.69^2)/837 + 13²/143))
The number of younger moms, in the study = 143
The average weight gain of mature moms, ₂ = 28.52 pounds
The standard deviation of the weight gain of mature moms, s₂ = 13 pounds
The test statistic for the difference in two populations is given as follows;
Therefore, we get;
The test statistic ≈ (1.7919)
Using a graphing calculator, we get;
The critical-t = ±1.971379, p = 0.07459697
Therefore, given that the test statistic, (1.7919), < critical-t (0.07459697), we fail to reject the null hypothesis, therefor, the given data does not provide convincing evidence that there is a significant difference between the two population means
2x - y = 5
x + 3y = 7
I'm assuming you mean the coefficient matrix.
![\left[\begin{array}{ccc}2&-1\\1&3\end{array}\right] =(2)(3)-(-1)(1)=6+1=7](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-1%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D%20%3D%282%29%283%29-%28-1%29%281%29%3D6%2B1%3D7)
x + 3y = 7
I'm assuming you mean the coefficient matrix.