Answered: Park officials make predictions of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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