Answer:
(a)
![\bar x_2 = 30.25](https://tex.z-dn.net/?f=%5Cbar%20x_2%20%3D%2030.25)
(b)
(c) Smoking increases the time to fall asleep
Explanation:
Solving (a): The sample mean of each group
Mean is calculated as:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
So, we have:
<u>Smokers</u>
and
![\bar x_1 = \frac{69.3 +56.0+ 22.1 +47.6+ 53.2+ 48.1+ 52.7 +34.4+ 60.2 +43.8 +23.2 +13.8}{12}](https://tex.z-dn.net/?f=%5Cbar%20x_1%20%3D%20%5Cfrac%7B69.3%20%2B56.0%2B%2022.1%20%2B47.6%2B%2053.2%2B%2048.1%2B%2052.7%20%2B34.4%2B%2060.2%20%2B43.8%20%2B23.2%20%2B13.8%7D%7B12%7D)
![\bar x_1 = \frac{524.4}{12}](https://tex.z-dn.net/?f=%5Cbar%20x_1%20%3D%20%5Cfrac%7B524.4%7D%7B12%7D)
![\bar x_1 = 43.7](https://tex.z-dn.net/?f=%5Cbar%20x_1%20%3D%2043.7)
Non Smokers
and
![\bar x = \frac{28.6 +25.1 +26.4 +34.9 +28.8 +28.4 +38.5 +30.2 +30.6 +31.8 +41.6 +21.1 +36.0 +37.9 +13.9}{15}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B28.6%20%2B25.1%20%2B26.4%20%2B34.9%20%2B28.8%20%2B28.4%20%2B38.5%20%2B30.2%20%2B30.6%20%2B31.8%20%2B41.6%20%2B21.1%20%2B36.0%20%2B37.9%20%2B13.9%7D%7B15%7D)
![\bar x_2 = \frac{453.8}{15}](https://tex.z-dn.net/?f=%5Cbar%20x_2%20%3D%20%5Cfrac%7B453.8%7D%7B15%7D)
![\bar x_2 = 30.25](https://tex.z-dn.net/?f=%5Cbar%20x_2%20%3D%2030.25)
Solving (b): The standard deviation of each group
This is calculated as:
![\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum%28x%20-%20%5Cbar%20x%29%5E2%7D%7Bn-1%7D%7D)
For smokers
![n_1= 12](https://tex.z-dn.net/?f=n_1%3D%2012)
So:
![\sigma_1 = \sqrt{\frac{(69.3 -43.7)^2+(56.0-43.7)^2+..........+(13.8-43.7)^2}{12-1}}](https://tex.z-dn.net/?f=%5Csigma_1%20%3D%20%5Csqrt%7B%5Cfrac%7B%2869.3%20-43.7%29%5E2%2B%2856.0-43.7%29%5E2%2B..........%2B%2813.8-43.7%29%5E2%7D%7B12-1%7D%7D)
![\sigma_1 = \sqrt{\frac{3152.04}{11}}](https://tex.z-dn.net/?f=%5Csigma_1%20%3D%20%5Csqrt%7B%5Cfrac%7B3152.04%7D%7B11%7D%7D)
![\sigma_1 = \sqrt{286.5491}](https://tex.z-dn.net/?f=%5Csigma_1%20%3D%20%5Csqrt%7B286.5491%7D)
![\sigma_1 = 16.93](https://tex.z-dn.net/?f=%5Csigma_1%20%3D%2016.93)
For non-smokers
![n_2 = 15](https://tex.z-dn.net/?f=n_2%20%3D%2015)
So:
![\sigma_2 = \sqrt{\frac{(28.6 -30.25)^2+(25.1 -30.25)^2+..........+(13.9 -30.25)^2}{15-1}}](https://tex.z-dn.net/?f=%5Csigma_2%20%3D%20%5Csqrt%7B%5Cfrac%7B%2828.6%20-30.25%29%5E2%2B%2825.1%20-30.25%29%5E2%2B..........%2B%2813.9%20-30.25%29%5E2%7D%7B15-1%7D%7D)
![\sigma_2 = \sqrt{\frac{713.2575}{14}}](https://tex.z-dn.net/?f=%5Csigma_2%20%3D%20%5Csqrt%7B%5Cfrac%7B713.2575%7D%7B14%7D%7D)
![\sigma_2 = \sqrt{50.9469}](https://tex.z-dn.net/?f=%5Csigma_2%20%3D%20%5Csqrt%7B50.9469%7D)
![\sigma_2 = 7.14](https://tex.z-dn.net/?f=%5Csigma_2%20%3D%207.14)
Solving (c): Impact of smoking on time to sleep
In (b), we have:
--- smokers
--- non-smokers
<em>Smokers have larger standard deviation (i.e. large variability) than non-smokers. This means that smokers require more time to fall asleep.</em>
AI is <span>artificial intelligence. I am not sure what you mean by necessary types but the types of AI are Reactive Machines, Limited Memory, Theory of Mind, Self Awareness</span>
Answer:
The value variable will contain the lowest value in the numbers array.
Explanation:
Given
The given code segment
Required
The result of the code when executed
The illustration of the code is to determine the smallest of the array.
This is shown below
First, the value variable is initialized to the first index element
int value = numbers[0];
This iterates through the elements of the array starting from the second
for (int i = 1; i < numbers.length; i++) {
This checks if current element is less than value.
if (numbers[i] < value)
If yes, value is set to numbers[i]; which is smaller than value
value = numbers[i];
<em>Hence, the end result will save the smallest in value</em>
A firewall is a system installed to ensure the network security. It could either be a hardware or a software base. The firewall is program to control both incoming and outgoing traffic of the network based on rules set. It acts as a barrier from the outside untrusted networks.
Answer:
c. process control
Explanation:
The use of information technology to monitor and control a physical process is known as process control.
Generally, process control is mainly used in manufacturing industries such as food and beverages industries, oil and gas refinery industries, power (electricity) generation industries, chemical processing industries, and wastewater management industries where the production of materials from raw materials are continuously without any interruption.
The main purpose of process control is to ensure that the manufacturing process is done with better quality, consistency, safety standards and efficiency.