Data Set 23 "Old Faithful" in Appendix B includes data from 250 random eruptions of the Old Faithful geyser. The National Park Service makes predictions of times to the next eruption, and the data set includes the errors (minutes) in those predictions. The accompanying Stat-disk display results from using the prediction errors (minutes) to test the claim that the mean prediction error is equal to zero. Comment on the accuracy of the predictions.

Test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

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DURATION (SEC) 251 243 250 240 243 INT AFTER (MIN) 83 76 86 82 INT BEFORE (MIN) PRED ERROR (MIN) HEIGHT (FT) 130 125 120 120 130 82 -13 92 86