This isNOT a writing assignment, the question 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 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) Definition of the parameter of interest in context
- 1.b) Your confidence interval.
- 1.c) An explanation to the editor regarding whether or not themethodfor creating a confidence interval is reliable. This explanation shouldn’t depend on your specific sample, but is for themethod in general.
- 1.d) 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.e) An explanation to the editor about how you would make your interval more precise
Extracted text: 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:
Extracted text: 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