1. The problem involves understanding the symbols $\mu+1$ and $\mu+2$ in the context of hypotheses $H_0$ and $H_1$. 2. Typically, $H_0$ (null hypothesis) and $H_1$ (alternative hypothesis) are used in hypothesis testing to compare population parameters. 3. Here, $\mu$ represents the population mean. 4. The expressions $\mu+1$ and $\mu+2$ suggest values shifted by 1 and 2 units from the mean $\mu$. 5. If $H_0$ is $\mu = \mu_0$, then $H_1$ could be $\mu = \mu_0 + 1$ or $\mu = \mu_0 + 2$, indicating alternative means. 6. The grid of graphs with symbols $\mu$, $\sigma$, $\rho$, $\bar{x}$, $s$, $\hat{p}$, and bar graphs likely represents different statistics and their relationships. 7. The arrows in the last row may indicate directions of change or hypotheses testing decisions. Final answer: The problem is about hypothesis testing comparing $\mu$ with $\mu+1$ and $\mu+2$ under $H_0$ and $H_1$ respectively, where $H_0: \mu = \mu_0$ and $H_1: \mu = \mu_0 + k$ for $k=1,2$.