Question

As a part of her studies, Josslyn gathered data on the durations of 27 wildfires in the western United States. She works through the testing procedure: H0:μ≤16; Ha:μ>16 α=0.01 The test statistic is t0=x¯−μ0sn√=2.934. The critical value is t0.01=2.479. At the 1% significance level, does the data provide sufficient evidence to conclude that the mean duration of a wildfire in the western United States is more than 16 days?

Answers

Select the correct answer below:

We should reject the null hypothesis because t0<tα. So, at the 1% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is greater than 16 days.

We should not reject the null hypothesis because t0<tα. So, at the 1% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is greater than 16 days.

We should reject the null hypothesis because t0>tα. So, at the 1% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is greater than 16 days.

We should not reject the null hypothesis because t0>tα. So, at the 1% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is greater than 16 days.

Answer 1