<p>A distributor for health products claimed that his slimming pills could help women achieve their desired mass of $49$ kg. An experiment was carried out to test his claim. $80$ women were randomly chosen and they took the slimming pills for a period of time. The mass, $x$, of each woman was then taken and recorded in kg. it was calculated that $\sum{(x-40)=837}$.</p>
<ol class="i-list"><li><div class="list-item-paragraph">State, with a reason, whether it is necessary to assume that the masses of the women follows a normal distribution in order 	to test his claim at $2\%$ significance level. </div></li><li><div class="list-item-paragraph">Assuming that the population variance of the masses is $100$ kg$^{2}$, test at $4%$ significance level whether the distributor was understating his claim. </div></li></ol>

A distributor for health products claimed that his slimming pills could help women achieve their desired mass of $49$ kg. An experiment was carried out to test his claim. $80$ women were randomly chosen and they took the slimming pills for a period of time. The mass, $x$, of each woman was then taken and recorded in kg. it was calculated that $\sum{(x-40)=837}$.

State, with a reason, whether it is necessary to assume that the masses of the women follows a normal distribution in order 	to test his claim at $2\%$ significance level. 

Assuming that the population variance of the masses is $100$ kg$^{2}$, test at $4%$ significance level whether the distributor was understating his claim. 

Hypothesis Testing

H2 Math

International Baccalaureate Higher Level Mathematics

Hypothesis Testing

Question d1560ca1