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 alternativehypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim. what are the null and alternative hypotheses? a. upper h 0h0: muμequals=00 minutes upper h 1h1: muμless than< 00 minutes b. upper h 0h0: muμequals=00 minutes upper h 1h1: muμnot equals≠00 minutes c. upper h 0h0: muμequals=00 minutes upper h 1h1: muμgreater than> 00 minutes d. upper h 0h0: muμless than< 00 minutes upper h 1h1: muμequals=00 minutes identify the test statistic. nothing

For this case since the we have enough evidence to reject the null hypothesis at a significance of 5%. So then the mean prediction error seems to be different from 0.

Reject H0. There is enough evidence to conclude that the mean prediction error is different from 0 minutes.

Step-by-step explanation:

For this case they want to test this:

H0:

H1:

So the correct option is:

B. Upper H0: μ=0 minutes

Upper H1: μ≠0 minutes

The output for the test is on the figure attached.

The significance level its

The statistic on this case is calculated with the following formula:

The degreed of freedom for the statistic are given by the output

The statistic obtained for this case is given by the output:

The p value from the output is given by:

We can calculate it like this manually:

For this case since the we have enough evidence to reject the null hypothesis at a significance of 5%. So then the mean prediction error seems to be different from 0.

The final conclusion for this case would be:

Reject H0. There is enough evidence to conclude that the mean prediction error is different from 0 minutes.

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