3 Fig. 3 shows the time Lorraine spent in hours, \(t\), answering e-mails during the working day. The data were collected over a number of months.
\begin{table}[h]
| \(0 \leqslant t < 1\) | \(1 \leqslant t < 2\) | \(2 \leqslant t < 3\) | \(3 \leqslant t < 4\) | \(4 \leqslant t < 6\) | \(6 \leqslant t < 8\) |
| 28 | 36 | 42 | 31 | 24 | 12 |
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{table}
- Calculate an estimate of the mean time per day that Lorraine spent answering e-mails over this period.
- Explain why your answer to part (a) is an estimate.
When Lorraine accepted her job, she was told that the mean time per day spent answering e-mails would not be more than 3 hours.
- Determine whether, according to the data in Fig. 3, it is possible that the mean time per day Lorraine spends answering e-mails is in fact more than 3 hours.