Please explain with screenshots because I am confused that I am getting the same results in Q1 and Q2. I guess they are different answers... Please help! 1. I am interested in understanding the effects of a novel opioid-reversal drug on reaction time. I test visual reaction time (ms) in five male participants with similar ages and no history of opioid abuse by instructing participants to click on a visual cue using a computer mouse. Participants complete the task under three conditions: 1) 15 minutes after receiving an oral placebo, 2) 15 minutes after receiving an oral opioid, and 3) 15 minutes after receiving an oral opioid and reversal. The reaction time task was completed for each condition on separate days.

	placebo	opioid	opioid+ reversal
P1	400	645	314
P2	359	408	405
P3	408	479	524
P4	418	488	304
P5	256	492	344

I am interested in understanding if the treatment influenced the observed measurement. Using R, What is the value of the test statistic, the F ratio? - What is the resulting p-value?

2. Still interested in understanding the effects of a novel opioid-reversal drug on reaction time, I test visual reaction time (ms) in fifteen male participants with similar ages by instructing participants to click on a visual cue using a computer mouse. These participants belong to three equal groups 1) a control group with no history of opioid abuse, 2) currently suffering from opioid use disorder, and 3) those formerly suffered from opioid use disorder who have not used opioids in at least 6 months.

control	current opioid users	former opioid users
400	645	314
359	408	405
408	479	524
418	488	304
256	492	344

I am interested in understanding if the participant's history with opioid use affects reaction time. Using R, What is the value of the F ratio? - What are the degrees of freedom for the F ratio for the ANOVA conducted? - Why are there two degrees of freedom for the ANOVA conducted in Question #2Report the p-value for the ANOVA and what do they refer to? - Given the p-value for the ANOVA conducted in Question #2, what can you conclude about reaction time among these groups?

A. Reject the null hypothesis, there is no difference in mean reaction time among groups

B. Reject the null hypothesis, there is a significant difference in mean reaction time among groups

C. Fail to reject the null hypothesis, there is no difference in mean reaction time among groups

D. Fail to reject the null hypothesis, there is a significant difference in mean reaction time among groups

- Briefly explain why the ANOVA results conducted in the homework produce different results despite having the same dataset. How do the calculations of their F-ratios differ?