Answer:
Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Step-by-step explanation:
[tex]H_{0}[/tex]: Mean speed of the new chip is the same as the old chip
[tex]H_{a}[/tex]: Mean speed of the new chip is greater than the old chip
to calculate the z-statistic we can use the formula:
z=[tex]\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }[/tex]
if we put the numbers then
z=[tex]\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } }[/tex] =4.8171
The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
