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

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.

marginal cost is a microeconomic measure that us to evaluate the extent to which the level of production of a good is sustainable in accounting, that is, to how many quantities the company plans to profit from the production of the good.

the concept of marginal cost is simple, it means the cost of producing one more item. for example, in the case of pies, the marginal cost is the cost of producing one more pie than those that have already been produced.

it is important to understand that productive activity influences marginal cost. the marginal cost of some goods can be very high, while others may be insignificant. for example, the marginal cost of producing an extra plane is very high. already the marginal cost of a water company to provide 1l more water is derisory.

in the case of pies, the cost involves the inputs, the labor and the fixed cost, which involves the fixed space of the bakery. the level of production initially has the marginal cost decreasing because there is space and manpower available. however, to produce more you have to hire more workers and buy more inputs. if physical space is limited, workers will conflict with places, inputs and their productivity will decrease, meaning there is an optimum point of production for each level of space and manpower. from this point on, the productivity of the workers will be getting smaller because of lack of space, so that the marginal cost of producing one more pie will be increasing. so, although you have not posted the chart, but if you have the answer, you can see that my explanation goes according to the marginal cost curve that will increase from the 4th pie, answer (c).