After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals that people are eating more and thus gaining weight. In 2018, the average weight of an American male was 198 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic (a) What is the population for which inferencing is being done in this problem? [narrative, no calculation needed] (b) What is the population parameter for which inferencing is being done? [narrative, no calculation needed] (c) Formulate the hypotheses that can be used by the health expert to confirm their suspicion
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.
| After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals | |||||||||||||||||
| that people are eating more and thus gaining weight. In 2018, the average weight of an American male was | 198 | pounds, and health experts want to know | |||||||||||||||
| if that average weight of the American male has gone up during this pandemic | |||||||||||||||||
| (a) | What is the population for which inferencing is being done in this problem? | [narrative, no calculation needed] | |||||||||||||||
| (b) | What is the population parameter for which inferencing is being done? | [narrative, no calculation needed] | |||||||||||||||
| (c) | Formulate the hypotheses that can be used by the health expert to confirm their suspicion | ||||||||||||||||
| (d) | A sample of | 60 | American males yielded a sample average weight of | 201.5 | pounds | ||||||||||||
| and sample standard deviation of | 15 | pounds | What is your conclusion at the | 4% | level of significance? | ||||||||||||
| (be sure to state your conclusion in the context of this problem) | |||||||||||||||||
| (e) | Would your conclusion change if the level of significance were changed to | 1% | ? | Justify briefly. |
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