Question: 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

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?

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