This is NOT an essay prompt, the question prompt is just detailed.Use the following prompt and data to answer question 1 and its subquestions 1.a, 1.b, 1.c, 1.d, and 1.e, in detail, thank you! 1) For one of the memory assessment experiment, perform a hypothesis test to assess whether there is a difference in completion time, on average, when undergraduate students at UM use their dominant vs. non-dominant hand, using a 5% significance level. Be sure to include: 1.a) Definition of the parameter of interest in context 1.b) Your hypotheses and results of your test. You can include either a screenshot from Rstudio (if available) or a table of important values (test statistic, distribution, and p-value) calculated by hand.1.c) An evaluation of the p-value and conclusion in context1.d) Define alpha and power in context1.e) Explain two ways in which you could increase the power of this test Background (Motivation): Recovery curve after concussion for student athletesThe (fictitious) Midwest Journal of Medicine recently published a study of the recovery curve afterconcussions for student athletes. Student athletes complete a computer-based neurocognitive assessmentwhen they first enter their university and are given a baseline concussion score. If a student athletebecomes concussed, they are asked to perform the assessments again and again until their neurocognitiveassessment score returns to their baseline score.You believe that hand dominance may have an impact on the study results and observe that this wasn'tcontrolled for in the original study. To show the importance of controlling for hand dominance whenperforming computer-based evaluations, you decide to conduct your own study among undergraduatestudents at UM.Your Study: Effects of hand dominance on various computer-based activities for undergraduate students atUM.You have two different datasets available to you coming from a random sample of undergraduate studentsat UM. Each student was asked to perform a series of two computer-based activities that measure reactiontime e and memory 2 . Each student performed each activity twice; fırst using their dominant hand andagain using their non dominant hand. You will be using these study results to evaluate if hand dominancehas 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: Table 1: Experiment 1- Reaction Time ActivityDifference in completion timeCompletion time(Dominant Hand) | (Non-Dominant Hand) (Dominant - Non-Dominant)Completion timeNumber ofobservations149114911491Sample mean0.42590.482-0.056Sample standarddeviation0.1530.1910.140Table 2: Experiment 2 - Memory Assessment ActivityCompletion time|(Dominant Hand) (Non-Dominant Hand)Difference in completion time(Dominant - Non-Dominant)Completion timeNumber ofobservations142114211421Sample mean41.96252.043-10.080Sample standarddeviation10.20214.23412.747

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Description: This is NOT an essay prompt, the question prompt is just detailed.Use the following prompt and data to answer question 1 and its subquestions 1.a, 1.b, 1.c, 1.d, and 1.e, in detail, thank you! 1) For one of the memory assessment experiment, perform

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This is NOT an essay prompt, the question prompt is just detailed.

Use the following prompt and data to answer question 1 and its subquestions 1.a, 1.b, 1.c, 1.d, and 1.e, in detail, thank you!

1) For one of the memory assessment experiment, perform a hypothesis test to assess whether there is a difference in completion time, on average, when undergraduate students at UM use their dominant vs. non-dominant hand, using a 5% significance level. Be sure to include:

1.a) Definition of the parameter of interest in context
1.b) Your hypotheses and results of your test. You can include either a screenshot from Rstudio (if available) or a table of important values (test statistic, distribution, and p-value) calculated by hand.
1.c) An evaluation of the p-value and conclusion in context
1.d) Define alpha and power in context
1.e) Explain two ways in which you could increase the power of this test

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:

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

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