3. Do different grades of gasoline affect mileage? A test car made 5 trial runs with each of three different grades of gasoline. The resulting mileage is recorded in the table below.
$$\text{Unknown environment 'tabular'}$$
I sample siz
$$\frac{{\left(\mathrm{\Sigma }{x}_{TOT}\right)}^2}{N}$$
$$\begin{array}{l}\text{ Test to determine if there is any difference in the population mean mileage with th }\\ \text{ gasoline. Use a }1\mathrm{\%}\text{ significance level. }\\ H_0:{\mu }_1={\mu }_2=M_3\text{ at lecst }2\text{ d }\end{array}$$
$$F=1.326\text{ Fail to reject }{H}_0\text{, we are }1\mathrm{\%}$$
$F_2=6.93$ there is cosig dif in mileage with dif grades of gasoline.
4. At a local high school the freshman women's basketball team has a friendly rivalry with the women's varsity basketball team. They record and compare the number of points each team scores in every practice game. A random sample of 31 records for the freshman team shows a sample mean 63.2 points with a sample variance of 590.49 points ${}^2$. An independent random sample of 26 records from the varsity women's basketball team has a sample mean of 96. . points and a sample variance of 268.96 points ${}^2$. Use the $5\mathrm{\%}$ level of significance to test the claim that the varsity team is more consistent in scoring than the freshman team.
$$H_0:{\rho }_1^2={\rho }_2^{2}F=4.820$$
$$H_1:0_1^2>0_2^2$$