volunteer 1 2 3 4 5 6 7 8 9 10 treatment a 10 13 13 9 13 12 14 10 8 7 treatment b 19 18 19 15 20 16 16 16 13…

volunteer 1 2 3 4 5 6 7 8 9 10 treatment a 10 13 13 9 13 12 14 10 8 7 treatment b 19 18 19 15 20 16 16 16 13 17 difference (a - b) -9 -5 -6 -6 -7 -4 -2 -6 -5 -10 -10 -9 -8 -7 -6 -5 -4 -3 -2 difference (a - b) in time to experience relief (min) the researchers would like to construct a 99% confidence interval for the mean difference (a - b) in the time it took to experience relief. are the conditions for inference met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.

volunteer 1 2 3 4 5 6 7 8 9 10 treatment a 10 13 13 9 13 12 14 10 8 7 treatment b 19 18 19 15 20 16 16 16 13 17 difference (a - b) -9 -5 -6 -6 -7 -4 -2 -6 -5 -10 -10 -9 -8 -7 -6 -5 -4 -3 -2 difference (a - b) in time to experience relief (min) the researchers would like to construct a 99% confidence interval for the mean difference (a - b) in the time it took to experience relief. are the conditions for inference met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.

Answer

Answer:

No, the Normal/large sample condition is not met.

Explanation:

Step1: Analyze sample size

The sample size $n = 10$. For constructing a confidence - interval for the mean difference, we need to check the normal/large - sample condition. A large sample is typically considered $n\geq30$. Here $n = 10<30$.

Step2: Check for normality

There is no indication that the population of differences is normally distributed. Just looking at the dot - plot of the 10 differences, we do not have enough evidence to assume normality. So the normal/large sample condition is not met.