Question $1$

To test the hypothesis that the population mean mu$=8\mathrm{.}0,$ a sample size $n=23$ yields a sample mean $8\mathrm{.}259$ and sample standard deviation $0\mathrm{.}476.$ Calculate the $P-$

value and choose the correct conclusion.

Your answer:

The P$-$value $0\mathrm{.}022$ is not significant and so does not strongly suggest that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}022$ is significant and so strongly suggests that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}017$ is not significant and so does not strongly suggest that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}017$ is significant and so strongly suggests that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}008$ is not significant and so does not strongly suggest that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}008$ is significant and so strongly suggests that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}029$ is not significant and so does not strongly suggest that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}029$ is significant and so strongly suggests that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}318$ is not significant and so does not strongly suggest that mu$>8\mathrm{.}0.$

The P$-$value $0\mathrm{.}318$ is significant and so strongly suggests that mu$>8\mathrm{.}0.$