State the null and alternative hypotheses Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model , i.e., “cut-off” critical values etc. Formulate the decision rule, i.e., include “one-tail ”left, or “one-tail” right, or “two-tail” determination etc. Determine the experimental outcome. Determine the conclusion, and answer the question(s) posed in the problem, if any. A claim is made that the mean height of police officers is 5 feet 11 inches. To test whether this claim is true or not, a random sample of 25 police officers was gathered. This sample had a mean height of 5 feet 10 inches with s=3 inches. Test at the 5% significance level.
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.
Note: Since you have posted a question with multiple subparts, we will solve the first three subparts for you. To get the remaining subparts solved, please repost the complete question and mention the subparts to be solved. need #4 & #5
- State the null and alternative hypotheses
- Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model , i.e., “cut-off” critical values etc.
- Formulate the decision rule, i.e., include “one-tail ”left, or “one-tail” right, or “two-tail” determination etc.
- Determine the experimental outcome.
- Determine the conclusion, and answer the question(s) posed in the problem, if any.
- A claim is made that the mean height of police officers is 5 feet 11 inches. To test whether this claim is true or not, a random sample of 25 police officers was gathered. This sample had a mean height of 5 feet 10 inches with s=3 inches. Test at the 5% significance level.
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