To test the hypothesis that the population standard deviation sigma$=6\mathrm{.}5,$ a sample size $n=25$ yields a sample standard deviation $4\mathrm{.}643.$ Calculate the $P-$value and choose the correct conclusion.

Your answer:

The P$-$value $0\mathrm{.}414$ is not significant and so does not strongly suggest that sigma

The $P-$value $0\mathrm{.}414$ is significant and so strongly suggests that sigma

The P$-$value $0\mathrm{.}008$ is not significant and so does not strongly suggest that sigma

The P$-$value $0\mathrm{.}008$ is significant and so strongly suggests that sigma

The $P-$value $0\mathrm{.}023$ is not significant and so does not strongly suggest that sigma

The P$-$value $0\mathrm{.}023$ is significant and so strongly suggests that sigma

The P$-$value $0\mathrm{.}010$ is not significant and so does not strongly suggest that sigma

The $P-$value $0\mathrm{.}010$ is significant and so strongly suggests that sigma

The P$-$value $0\mathrm{.}028$ is not significant and so does not strongly suggest that sigma

The P$-$value $0\mathrm{.}028$ is significant and so strongly suggests that sigma