QuestionProblem 16)
You are given delivery times for 8 products:
\begin{tabular}{|l|l|l|l|}
\hline & Company A & Company B & Difference \\
\hline Delivery time 1 & 16 & 0 & 16 \\
\hline Delivery time 2 & 16 & 10 & 6 \\
\hline Delivery time 3 & 23 & 5 & 17 \\
\hline Delivery time 4 & 16 & 19 & -3 \\
\hline Delivery time 5 & 15 & 4 & 11 \\
\hline Delivery time 6 & 20 & 9 & 11 \\
\hline Delivery time 7 & 25 & 16 & 9 \\
\hline Delivery time 8 & 15 & 20 & -5 \\
\hline
\end{tabular}
```
> difference = c(16, 6, 17, -3, 11, 11, 9, -5)
> mean(difference)
[1] 7.75
> sd(difference)
[1] 8.084376
```
a) Does company B deliver its products faster than company A?
b) Do companies have the same delivery time?
Studdy Solution
a) Based on the mean difference of 7.75, Company B generally delivers its products faster than Company A.
b) The standard deviation of 8.084376 suggests there is some variability in the delivery times, but the consistent positive mean difference indicates that Company A generally takes longer. Therefore, the companies do not have the same delivery time on average.
Conclusion:
a) Yes, Company B delivers its products faster than Company A.
b) No, the companies do not have the same delivery time.
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