This is NOT a writing assignment, the question is just detailed. Use the following prompt, the answer to subquestion 1.a, and data to answer the rest of question 1 and its subquestions 1.b, 1.c, and 1.d, and 1.e, in detail, thank you! 1) For the reaction time experiment, compute the 95% confidence interval to estimate the mean difference in completion time for all undergraduate students at UM when they use their dominant vs. non-dominant hand. Be sure to include: 1.a) Your confidence interval. Answer: (-0.0631,-0.0489) 1.b) An explanation to the editor regarding whether or not the method for creating a confidence interval is reliable. This explanation shouldn’t depend on your specific sample, but is for the method in general. 1.c) A clear explanation of how the confidence interval can be used to assess if hand dominance has an effect on completion time, on average, for all undergraduate students at UM 1.d) An explanation to the editor about how you would make your interval more precise
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
This is NOT a writing assignment, the question is just detailed.
Use the following prompt, the answer to subquestion 1.a, and data to answer the rest of question 1 and its subquestions 1.b, 1.c, and 1.d, and 1.e, in detail, thank you!
1) For the reaction time experiment, compute the 95% confidence
- 1.a) Your confidence interval.
Answer: (-0.0631,-0.0489)
- 1.b) An explanation to the editor regarding whether or not the method for creating a confidence interval is reliable. This explanation shouldn’t depend on your specific sample, but is for the method in general.
- 1.c) A clear explanation of how the confidence interval can be used to assess if hand dominance has an effect on completion time, on average, for all undergraduate students at UM
- 1.d) An explanation to the editor about how you would make your interval more precise
![Background (Motivation): Recovery curve after concussion for student athletes
The (fictitious) Midwest Journal of Medicine recently published a study of the recovery curve after
concussions for student athletes. Student athletes complete a computer-based neurocognitive assessment
when they first enter their university and are given a baseline concussion score. If a student athlete
becomes concussed, they are asked to perform the assessments again and again until their neurocognitive
assessment score returns to their baseline score.
You believe that hand dominance may have an impact on the study results and observe that this wasn't
controlled for in the original study. To show the importance of controlling for hand dominance when
performing computer-based evaluations, you decide to conduct your own study among undergraduate
students at UM.
Your Study: Effects of hand dominance on various computer-based activities for undergraduate students at
UM.
You have two different datasets available to you coming from a random sample of undergraduate students
at UM. Each student was asked to perform a series of two computer-based activities that measure reaction
time e and memory 2 . Each student performed each activity twice; fırst using their dominant hand and
again using their non dominant hand. You will be using these study results to evaluate if hand dominance
has an effect on reaction time and memory when measured through these two computer based activities.
Below is a summary of the data collected for each activity:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05746c0e-2bde-41f7-b21f-b6c2a3fd0725%2F40faedb9-488b-44b3-b842-0a8843f76574%2Fd825hof_processed.png&w=3840&q=75)
![Table 1: Experiment 1- Reaction Time Activity
Difference in completion time
Completion time
(Dominant Hand) | (Non-Dominant Hand) (Dominant - Non-Dominant)
Completion time
Number of
observations
1491
1491
1491
Sample mean
0.4259
0.482
-0.056
Sample standard
deviation
0.153
0.191
0.140
Table 2: Experiment 2 - Memory Assessment Activity
Completion time
|(Dominant Hand) (Non-Dominant Hand)
Difference in completion time
(Dominant - Non-Dominant)
Completion time
Number of
observations
1421
1421
1421
Sample mean
41.962
52.043
-10.080
Sample standard
deviation
10.202
14.234
12.747](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05746c0e-2bde-41f7-b21f-b6c2a3fd0725%2F40faedb9-488b-44b3-b842-0a8843f76574%2F3qqpvz1c_processed.png&w=3840&q=75)
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