In a hypothesis test where the population variance is unknown, we use the t-statistic $t = \frac{\bar{x} - \mu_0}{s/\sqrt{n}}$. If the sample size is $n=25$ and the sample standard deviation is $s=10$, how many standard deviations away from the hypothesized mean is the sample mean if $\bar{x} = 52$ and $\mu_0 = 50$?