The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153. What are the null and alternative hypotheses?

Question options:

Null hypothesis equal 105, alternative hypothesis not equal 105

Null hypothesis equal 105, alternative hypothesis greater than 105

Null hypothesis equal 100, alternative hypothesis not equal 100

Null hypothesis equal 100, alternative hypothesis greater than 100

Answer:

Null hypothesis equal 105, alternative hypothesis greater than 105

Explanation:

The two hypotheses: the null and alternative hypotheses are denoted as follows : the null hypothesis, and the alternative hypothesis, which are denoted in the above options. The null hypothesis is the one tested and approved or disapproved by the researcher while the alternative is everything else that the null hypothesis is not. In the above the null hypothesis is 105 while the alternative hypothesis (or hypothesis one but alternative hypothesis in this case) is greater than 105.