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.

a) Null hypothesis:

Alternative hypothesis:

b) t =-7.44

c)

d) Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the . So we can conclude that the difference is significantly different from 0 at 5% of significance.

Step-by-step explanation:

Assuming this output:

t(observed value) =-7.44

t(Critical value )= 1.984

DF = 98

p value (two tailed) < 0.0001

a) What are the null and alternative hypothesis

Null hypothesis:

Alternative hypothesis:

The reason is because the output says a bilateral test so for this case w eselect this option.

b) Identify the statistic

The correct formula for the statistic is given by:

Based on the output the calculated value its t =-7.44

c) Identify the p value

We have the degrees of freedom given 98

Based on the alternative hypothesis the p value is given by:

d) State the final conclusion that addresses the original claim

Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the . So we can conclude that the difference is significantly different from 0 at 5% of significance.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have