(Solved): Advanced level maths. Hypo testing. need helps In a large population of chickens, the distribu ...

Advanced level maths. Hypo testing. need helps

In a large population of chickens, the distribution of the mass of a chicken has mean $?\mathrm{kg}$ and standard deviation $?\mathrm{kg}$. A random sample of 100 chickens is taken from the population. The mean mass for the sample is denoted by $\stackrel{?}{X}$. State the approximate distribution of $\stackrel{?}{X}$, giving its mean and standard deviation. Given that $\stackrel{?}{x}=1.891$ and $?=0.71$, test, at the $1\%$ level of significance, the null hypothesis $?=1.75$ against the alternative hypothesis $?>1.75$. State, giving a reason, whether any assumptions about the population are needed in order for the test to be valid. $[p$-value $=0.0235>0.01$ or $z$-value $=1.99<2.3263$, do not reject ${\mathrm{H}}_0$ ]