(Solved): Mateus is interested in comparing the mean weekly hours worked by Sunbridge University professors w ...

Mateus is interested in comparing the mean weekly hours worked by Sunbridge University professors with the mean weekly hours worked by Starlight University professors. He randomly selects 40 Sunbridge University professors and 40 Starlight University professors. Next, he records the hours worked by each selected professor during the first week of September. Mateus then tests the claim that the mean weekly hours worked by Sunbridge University professors is greater than the mean hours worked by Starlight University professors. Define the difference as Sunbridge University - Starlight University. At a significance level of \( \alpha=0.10 \), Mateus computes a p-value of 0.2746 . What is the correct conclusion for this hypothesis test? Reject the null hypothesis. There is sufficient evidence to conclude that the mean weekly hours worked by Sunbridge University professors is greater than the mean hours worked by Starlight University professors. Reject the null hypothesis. There is sufficient evidence to conclude that the mean weekly hours worked by Sunbridge University professors is equal to the mean hours worked by Starlight University professors. Fail to reject the null hypothesis. There is insufficient evidence to conclude that the mean weekly hours worked by Sunbridge University professors is greater than the mean hours worked by Starlight University professors. Fail to reject the null hypothesis. There is sufficient evidence to conclude that the mean weekly hours worked by Sunbridge University professors is greater than the mean hours worked by Starlight University professors.