As a part of her studies, Olivia gathered data on the durations of 28 wildfires in the western United States. She works through the testing procedure: H0:μ≥15; Ha:μ<15 α=0.04 The test statistic is t0=x¯−μ0sn√=−1.16. The critical value is −t0.04=−1.819. At the 4% significance level, does the data provide sufficient evidence to conclude that the mean duration of a wildfire in the western United States is less than 15 days? Select the correct answer below: We should reject the null hypothesis because t0<tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days. We should not reject the null hypothesis because t0<tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days. We should reject the null hypothesis because t0>tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days. We should not reject the null hypothesis because t0>tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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As a part of her studies, Olivia gathered data on the durations of 28 wildfires in the western United States. She works through the testing procedure:

H0:μ≥15; Ha:μ<15
α=0.04
The test statistic is t0=x¯−μ0sn√=−1.16.
The critical value is −t0.04=−1.819.

At the 4% significance level, does the data provide sufficient evidence to conclude that the mean duration of a wildfire in the western United States is less than 15 days?

Select the correct answer below:

We should reject the null hypothesis because t0<tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days.

We should not reject the null hypothesis because t0<tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days.

We should reject the null hypothesis because t0>tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days.

We should not reject the null hypothesis because t0>tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is less than 15 days.

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