Answer:
Following are the responses to the given choice:
Step-by-step explanation:
For point a:
![H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu_1%20-%20%5Cmu_2%20%3D%200%5C%5C%5C%5C%20H_1%3A%20%5Cmu_1%20-%20%5Cmu_2%20%3C%200)
For point b:
![t = -2.953](https://tex.z-dn.net/?f=t%20%3D%20-2.953)
For point c:
![\to p- value = 0.0021](https://tex.z-dn.net/?f=%5Cto%20%20p-%20value%20%3D%200.0021)
For point d:
Reject
. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.
Answer:
we don't see an image?
Step-by-step explanation:
Do you know what the answer choices are?
<h3>
Answer: y = 10</h3>
=====================================
Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
- EI = 3y-10 = 3*10-10 = 20
- EG = 2y = 2*10 = 20
Both EI and EG are 20 units long when y = 10. This confirms the answer.
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
![\mu = np = 50 \times 0.5 \\ \\ \mu= 25](https://tex.z-dn.net/?f=%5Cmu%20%3D%20np%20%3D%2050%20%5Ctimes%200.5%20%5C%5C%20%5C%5C%20%5Cmu%3D%2025)
![\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7Bnp%281-p%29%20%7D%20%5C%5C%20%5C%5C%20%20%5Csigma%20%3D%20%5Csqrt%7B50%20%5Ctimes%20%280.5%29%281-0.5%29%20%7D%20%5C%5C%20%5C%5C%20%5Csigma%20%3D%203.536)
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,
= 25,
= 3.536
Using the z test statistics;
![z = \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
![z = \dfrac{30.5 - 25}{3.536}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B30.5%20-%2025%7D%7B3.536%7D)
![z = \dfrac{5.5}{3.536}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B5.5%7D%7B3.536%7D)
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06