Question $3$

To test the hypothesis that the population mean mu$=10\mathrm{.}6,$ a sample size $n=9$ yields a sample mean $12\mathrm{.}995$ and sample standard deviation $3\mathrm{.}345.$ Calculate the P$-$

value and choose the correct conclusion.

Your answer:

The P$-$value $0\mathrm{.}021$ is not significant and so does not strongly suggest that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}021$ is significant and so strongly suggests that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}032$ is not significant and so does not strongly suggest that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}032$ is significant and so strongly suggests that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}006$ is not significant and so does not strongly suggest that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}006$ is significant and so strongly suggests that $>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}023$ is not significant and so does not strongly suggest that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}023$ is significant and so strongly suggests that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}015$ is not significant and so does not strongly suggest that mu$>10\mathrm{.}6.$

The P$-$value $0\mathrm{.}015$ is significant and so strongly suggests that mu$>10\mathrm{.}6.$