Robert wishes to estimate the mean number of miles that his Buick Lacrosse can be driven on a full tank of gas. He fills up his car with regular unleaded gasoline from the same gas station 10 times and records the number of miles that he drives until his low-tank indicator light comes on. He obtains the data shown in Table 5. Construct a \(95 \%\) confidence interval for the mean number of miles driven on a full tank of gas.

Approach Follow the flow chart given in Figure 23.

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Table 5 323.9 326.8 370.6 450.7 368.8 423.8 398.8 417.5 382.7 343.1