Discuss the below:
Q: Gerber Biotech Industries was testing three different drugs namely Breath-Easy, Fresh Mint and Sober Breath, meant for neutralizing the alcohol content in the breath so that the (drunken) drivers can pass the breath analyzer test. The three drugs are tested on randomly selected volunteers and the time taken for each of the drugs to neutralize the effect is recorded. Breath-Easy and Fresh Mint were tested on 8 individuals. The data is presented in the table below:
Volunteer Number
Drug 1 2 3 4 5 6 7 8
Time Taken in Minutes
BE 35 51 56 57 60 74
FM 43 53 41 57 36 55
SB 35 32 28 44 40 34 73 48
(a) Test whether there is any significant difference between the average time taken by the three drugs using an appropriate parametric test (Use 0.10 percent significance level)
(b) Repeat the test using an appropriate non-parametric test.
(C) Should the conclusions between the two tests consistent? Why or why not? If the conclusions are not consistent, which one would you agree with and why?