To test the hypothesis that the population mean $=3\mathrm{.}6,$ a sample size $n=14$ yields a sample mean $4\mathrm{.}007$ and sample standard deviation $0\mathrm{.}607.$ Calculate the $P-$

value and choose the correct conclusion.

Your answer:

The P$-$value $0\mathrm{.}003$ is not significant and so does not strongly suggest that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}003$ is significant and so strongly suggests that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}013$ is not significant and so does not strongly suggest that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}013$ is significant and so strongly suggests that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}146$ is not significant and so does not strongly suggest that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}146$ is significant and so strongly suggests that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}002$ is not significant and so does not strongly suggest that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}002$ is significant and so strongly suggests that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}377$ is not significant and so does not strongly suggest that mu$>3\mathrm{.}6.$

The P$-$value $0\mathrm{.}377$ is significant and so strongly suggests that mu$>3\mathrm{.}6.$