As a part of her studies, Isabella gathered data on the durations of 31 wildfires in the western United States. She works through the testing procedure: H0:μ=14; Ha:μ≠14 α=0.1 The test statistic is t0=x¯−μ0sn√=1.489. The critical values are ±t0.05=±1.697. At the 10% 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 14 days? Select the correct answer below: We should reject the null hypothesis because t0<tα/2. So, at the 10% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days. We should reject the null hypothesis because t0>−tα/2. So, at the 10% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days. We should reject the null hypothesis because −tα/2<t0<tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days. We should not reject the null hypothesis because t0>−tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days. We should not reject the null hypothesis because −tα/2<t0<tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
As a part of her studies, Isabella gathered data on the durations of 31 wildfires in the western United States. She works through the testing procedure:
- H0:μ=14; Ha:μ≠14
- α=0.1
- The test statistic is t0=x¯−μ0sn√=1.489.
- The critical values are ±t0.05=±1.697.
At the 10% 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 14 days?
Select the correct answer below:
We should reject the null hypothesis because t0<tα/2. So, at the 10% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
We should reject the null hypothesis because t0>−tα/2. So, at the 10% significance level, the data provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
We should reject the null hypothesis because −tα/2<t0<tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
We should not reject the null hypothesis because t0>−tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
We should not reject the null hypothesis because −tα/2<t0<tα/2. So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average duration of a wildfire in the western United States is not equal to 14 days.
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