Short Answer Problems

Answer the following problems in the space provided.

When the seasons change, those living in colder climates need to switch the tires on their cars to match the

road conditions. Although average stopping distance is an important selling point, so too is the variance in

stopping distances. Suppose a consumer's digest collects the following data $($in meters$)$ on two tires.

The standard winter tire has been on the market for many years. The new tire is advertised to be equally

consistent as the original tire but with a shorter average stopping distance. $(15$ marks$)$

a$)$ Test the claim on the consistency of stopping distances using a $5\%$ level of significance. Be sure to

include all necessary steps. There is no need to explain your test formulation here.

$n_1=$ new

Ho: ${}_1^2{}_2^{-2}$