The admissions counselors at rainy University believe that the freshman class they have just recruited is the brightest yet. If they want to test this belief (that the freshmen are brighter than the other classes), what are the null and alternative hypotheses? Is this a one- or two tailed hypothesis.
IQFr1 = IQFr2
IQFr1 > IQFr2
You decide one the tail.
To determine the null and alternative hypotheses, as well as whether it is a one-tailed or two-tailed hypothesis, the admissions counselors at Rainy University can follow these steps:
1. Null Hypothesis (H0): The freshmen class recruited is not significantly different in terms of brightness from the other classes at Rainy University.
2. Alternative Hypothesis (H1): The freshmen class recruited is significantly brighter than the other classes at Rainy University.
In this case, the alternative hypothesis suggests that there is a significant difference in brightness between the freshmen class and the other classes, meaning that the counselors believe the freshmen are indeed brighter.
Now, let's determine whether this hypothesis is one-tailed or two-tailed:
- One-Tailed Hypothesis: If the counselors have a specific direction in mind and are testing if the freshmen class is brighter than the other classes (without considering the possibility of them being less bright), it would be a one-tailed hypothe