The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: School Sample Size Mean Study Time (Hrs) Standard Diviation (Hrs) All female 43 18.56 4.35 All male 38 17.95 4.87 Which test is appropriate to determine if there is a significant difference between the mean studying times of the students in the two schools based on these samples?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results:
| School | Mean Study Time (Hrs) | Standard Diviation (Hrs) | |
| All female | 43 | 18.56 | 4.35 |
| All male | 38 | 17.95 | 4.87 |
Which test is appropriate to determine if there is a significant difference between the mean studying times of the students in the two schools based on these samples?
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