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Which key difference do experiments have that correlation studies do not have?

A treatment is imposed, ex.) making the participants take a certain medicine instead of just allowing them to do what they please and see how they heal.


What is the importance of statistics in the field of physics?

In the field of physics, statistics help people to identify various trends that point to a certain inference. Getting figures from different experiments and plotting a graph can show how each variable affects the other.


In statistics what is raw data?

Raw data would be the basic numbers and details collected from research without any manipulations. I.E. It is the "input" for any statistical calculations. However, with justification, certain anomalies can be removed from a data set before performing calculations, or subjects might be excluded if they do not meet certain predefined criteria.


What does construct hypothesis mean?

Before conducting an experiment, a math problem or series of calculations one usually writes down what their expectations are that a certain result will come from the calculations or experiments. This is called a Hypothesis. You then conduct the experiment or set of calculations, in order to find out whether your expectations, based on your estimations, were correct, or wrong.


Formulate the objective function and constraints in terms of these decision variables?

To formulate the objective function and constraints, first define the decision variables clearly, such as (x_1, x_2, \ldots, x_n) representing quantities of products or resources. The objective function is typically expressed as a linear equation that maximizes or minimizes a certain value, like profit or cost, using these variables (e.g., maximize (Z = c_1x_1 + c_2x_2 + \ldots + c_nx_n)). Constraints should represent the limitations or requirements of the problem, such as resource availability or demand, often written in the form (a_1x_1 + a_2x_2 + \ldots + a_nx_n \leq b) for inequalities. Ensure all variables meet non-negativity constraints, such as (x_i \geq 0) for all (i).

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What is the uncertainty?

The phenomenon that you are not certain


What is the phenomenon in which electrons are emitted from a metals surface when light of a certain frequency shines on it?

Photoelectric phenomenon


The phenomenon of certain attitudes occurring at certain chronological ages?

Life Cycle effect