Park officials make predictions of times to the next eruption of a particular​ geyser, and collect data for the errors​ (minutes) in those predictions. The display from technology available below results from using the prediction errors to test the claim that the mean prediction error is equal to zero. Comment on the accuracy of the predictions. Use a 0.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Difference: -0.393 t​ (Observed value): -7.45 ​ | t​ | (Critical​ value): 1.986 DF: 91 ​ p-value (Two-tailed): <0.0001 alpha: 0.05 a) Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses? b) Identify the test statistic. c) Identify the P-value. d) __(fail to reject/reject)__. There __(is/is not) enough evidence to conclude that the mean population error is equal to zero __(is/is not) correct. There is __(no error/some error) in the mean population.

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