A1 A 1 Batteries 2 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 14 15 15 15 16 18 22 23 24 25 25 10 12 14 15 18 22 24 27 31 33 34 34 34 B Group X ✓ fx с 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 NNNNNNNNN 2 2 2 2 2 2 2 2 Batteries Performance D E

MATLAB: An Introduction with Applications
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[STATISTICS] How do you solve this? Conclusion for 95% confidence interval
The data is given

A1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
A
Batteries
14
15
15
15
16
18
22
23
24
25
25
10
12
14
15
18
22
24
27
31
33
34
34
34
B
Group
X✓ fx
с
1
1
1
1
1
1
1
1
1
1
1
2
2
22
2
2
2
2
2
2
2
2
2
2
Batteries Performance
D
E
Transcribed Image Text:A1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 A Batteries 14 15 15 15 16 18 22 23 24 25 25 10 12 14 15 18 22 24 27 31 33 34 34 34 B Group X✓ fx с 1 1 1 1 1 1 1 1 1 1 1 2 2 22 2 2 2 2 2 2 2 2 2 2 Batteries Performance D E
Individuals do not respond to visual stimuli with different colors at the same speed. The time interval
between presentation of a stimulus and initiation of a voluntary motor response is referred to as the
reaction time. The evaluation of the reaction time gives an idea of the integrity and processing
capabilities of the central nervous system. It is a simple tool to determine a person's motor-sensory
relationship and related functions. It is used to evaluate a person's state of health and condition
monitoring for better performance of mental activities that require high focus and speed in instant
decision.
An experimental study was conducted to compare people's reaction times to a red light versus a green
light. When signaled with either the red or the green light, the subject was asked to hit a switch to turn
off the light. When the switch was hit, a clock was turned off and the reaction time in seconds was
recorded. The following dataset gives the reaction times for 10 individuals.
Dataset is available at reaction time.csv
Let X; denotes the reaction time in seconds of an individual to red light, and let Y; denotes the
reaction time in seconds of an individual to green light. By finding a 95% confidence interval for the
difference between the means μD = μx - μy, we can conclude that
A: With 95% confidence, we have evidence to indicate that there is a difference between the reaction
times of individuals to a red light versus a green light.
B: With 95% confidence, we have NO evidence to indicate that there is a difference between the
reaction times of individuals to a red light versus a green light.
Transcribed Image Text:Individuals do not respond to visual stimuli with different colors at the same speed. The time interval between presentation of a stimulus and initiation of a voluntary motor response is referred to as the reaction time. The evaluation of the reaction time gives an idea of the integrity and processing capabilities of the central nervous system. It is a simple tool to determine a person's motor-sensory relationship and related functions. It is used to evaluate a person's state of health and condition monitoring for better performance of mental activities that require high focus and speed in instant decision. An experimental study was conducted to compare people's reaction times to a red light versus a green light. When signaled with either the red or the green light, the subject was asked to hit a switch to turn off the light. When the switch was hit, a clock was turned off and the reaction time in seconds was recorded. The following dataset gives the reaction times for 10 individuals. Dataset is available at reaction time.csv Let X; denotes the reaction time in seconds of an individual to red light, and let Y; denotes the reaction time in seconds of an individual to green light. By finding a 95% confidence interval for the difference between the means μD = μx - μy, we can conclude that A: With 95% confidence, we have evidence to indicate that there is a difference between the reaction times of individuals to a red light versus a green light. B: With 95% confidence, we have NO evidence to indicate that there is a difference between the reaction times of individuals to a red light versus a green light.
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