peter wants to estimate the mean value rolled on a fair number cube. he has generated four samples…

Explanation:

Step1: Calculate mean of Sample 1

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For Sample 1 with data $4,5,2,4,3$, $n = 5$, and $\sum_{i=1}^{5}x_{i}=4 + 5+2 + 4+3=18$. So the mean $\bar{x}_1=\frac{18}{5}=3.6$.

Step2: Calculate mean of Sample 2

For Sample 2 with data $2,2,6,5,6$, $n = 5$, and $\sum_{i = 1}^{5}x_{i}=2+2 + 6+5+6=21$. So the mean $\bar{x}_2=\frac{21}{5}=4.2$.

Step3: Calculate mean of Sample 3

For Sample 3 with data $4,6,3,4,2$, $n = 5$, and $\sum_{i=1}^{5}x_{i}=4 + 6+3+4+2=19$. So the mean $\bar{x}_3=\frac{19}{5}=3.8$.

Step4: Calculate mean of Sample 4

For Sample 4 with data $5,2,4,3,6$, $n = 5$, and $\sum_{i = 1}^{5}x_{i}=5+2 + 4+3+6=20$. So the mean $\bar{x}_4=\frac{20}{5}=4$.

Answer:

B. Sample 2