A construction engineer collected data from some construction sites on the quantity of gravel (in metric tons) used in mixing concrete. The quantity of gravel for n=24 sites

4861     5158     8642     2896     7654     9891     8381     6215     1116     7918     2313     8114
3517     8852     5712     4312     8023     1215     3598     2429     8211     4613     9168     6819

has \(\bar{x}=5818\) tons and \(s^{2}=2697\) tons. What can one assert with \(90 \%\) confidence about the maximum error if \(\bar{x}=5818\) tons is used as a point estimate of the true population mean amount of gravel used in concrete mixes?