The monthly rent (in dollars) paid by $12$ randomly selected residents in a city is listed below:
$950$, $1020$, $990$, $980$, $1005$, $1015$, $995$, $1030$, $1010$, $1000$, $985$, $970$
At the $\alpha =0.05$ level of significance, is there sufficient evidence to conclude that the standard deviation of monthly rent is different from $\text{\$}25$? Assume the population is normally distributed.