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.---Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?- **A.** \( H_0: \mu = 0 \) minutes \( H_1: \mu < 0 \) minutes - **B.** \( H_0: \mu < 0 \) minutes \( H_1: \mu = 0 \) minutes - **C.** \( H_0: \mu = 0 \) minutes \( H_1: \mu \neq 0 \) minutes - **D.** \( H_0: \mu = 0 \) minutes \( H_1: \mu > 0 \) minutes Choice **C** is selected.Identify the test statistic.(Round to two decimal places as needed.) ---There are no graphs or diagrams to explain in this image. The image displays the results of a statistical analysis, likely a t-test, presented in a table format. Here is a transcription of the content:- **Difference**: -0.487- **t (Observed value)**: -7.48- **| t | (Critical value)**: 1.986- **DF (Degrees of Freedom)**: 91- **p-value (Two-tailed)**: <0.0001- **alpha**: 0.05**Explanation of Terms:**- **Difference**: The observed difference between two sample means.- **t (Observed value)**: The calculated t-statistic from the data.- **| t | (Critical value)**: The critical t-value for the given degrees of freedom at the chosen significance level.- **DF (Degrees of Freedom)**: The number of independent values or quantities that can vary in the analysis, which affects the t-distribution.- **p-value (Two-tailed)**: The probability of observing the data, or something more extreme, given that the null hypothesis is true. A p-value less than the alpha level suggests a significant difference.- **alpha**: The threshold for statistical significance, typically set at 0.05.In this analysis, the p-value is less than 0.0001, indicating a statistically significant result, as it is below the alpha level of 0.05.

The null and alternative hypotheses are as follows: H0: µ =0 H1: µ ≠0

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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