As a part of her studies, Jessica gathered data on the speeds of 40 vehicles traveling on a highway. She works through the testing procedure: H0:μ=57; Ha:μ≠57 α=0.05 The test statistic is t0=x¯−μ0sn√=2.948. The critical values are ±t0.025=±2.023. At the 5% significance level, does the data provide sufficient evidence to conclude that the mean speed of vehicles traveling on the highway is less than 57 miles per hour? Select the correct answer below: We should reject the null hypothesis
As a part of her studies, Jessica gathered data on the speeds of 40 vehicles traveling on a highway. She works through the testing procedure:
- H0:μ=57; Ha:μ≠57
- α=0.05
- The test statistic is t0=x¯−μ0sn√=2.948.
- The critical values are ±t0.025=±2.023.
At the 5% significance level, does the data provide sufficient evidence to conclude that the mean speed of vehicles traveling on the highway is less than 57 miles per hour?
Select the correct answer below:
We should reject the null hypothesis because t0>tα/2. So, at the 5% significance level, the data provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
We should reject the null hypothesis because t0<−tα/2. So, at the 5% significance level, the data provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
We should reject the null hypothesis because −tα/2<t0<tα/2. So, at the 5% significance level, the data do not provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
We should not reject the null hypothesis because t0<tα/2. So, at the 5% significance level, the data provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
We should not reject the null hypothesis because t0>−tα/2. So, at the 5% significance level, the data do not provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
We should not reject the null hypothesis because −tα/2<t0<tα/2. So, at the 5% significance level, the data do not provide sufficient evidence to conclude that the average speed of vehicles traveling on the highway is not equal to 57 miles per hour.
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