Two microprocessors are compared on a sample of 6 benchmark codes to determine whether there is a difference in speed. The times (in seconds) used by each processor on each code are given below:
$\begin{array}{lcccccc}
&{\text { Code }} \
& 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Processor A } & 28.6 & 13.8 & 23.9 & 22.7 & 14.7 & 18.8 \
\text { Processor B } & 24.5 & 12.8 & 27.1 & 28.1 & 12.7 & 17.6
\end{array}$
An electronics engineer claims that the mean speed is the same for both processors. Does the 99% confidence interval contradict this claim? (Hint: First find the 99% confidence interval for the difference between the mean speeds.)

Question

Two microprocessors are compared on a sample of 6 benchmark codes to determine whether there is a difference in speed. The times (in seconds) used by each processor on each code are given below:
 $\begin{array}{lcccccc} 
&{\text { Code }} \
& 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Processor A } & 28.6 & 13.8 & 23.9 & 22.7 & 14.7 & 18.8 \
\text { Processor B } & 24.5 & 12.8 & 27.1 & 28.1 & 12.7 & 17.6
\end{array}$
An electronics engineer claims that the mean speed is the same for both processors. Does the 99% confidence interval contradict this claim? (Hint: First find the 99% confidence interval for the difference between the mean speeds.)

Quizplus · Accepted Answer

The 99% confidence interval for the difference between the mean speeds of the two processors includes zero, which means there is not enough evidence to conclude a significant difference in their mean speeds.

Two Microprocessors Are Compared on a Sample of 6 Benchmark