An organizational psychologist wants to know if workers' health would be affected if a company gave them extra days off. All workers take a standard physical exam twice a year and are given an overall health rating with higher scores indicating better health. The psychologist selected seven workers at random, arranged to have them receive an additional 2 days off every month over the period between health exams, and then compared the health scores on the two exams. Do the scores in the table below support the notion that having extra days off affects health? Carry out a t test for dependent means (using the .01 significance level). What should the researcher conclude? a.) Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL work/calculations. b.) Report the statistic in APA format (the statistical sentence). Workers' Health Ratings Before and After Extra Days Off Participant Before After 3 3 3 C 9 7 4 CON 1
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.
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