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Null and Alternative Hypotheses and Type I and II Errors

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Share the null and alternative hypotheses for a decision that is relevant to your life. This can be a personal item or something at work. Be sure that it is mathematical in nature. Additionally, identify the Type I and Type II Errors that could occur with your decision‐making process. Be sure to quantify your hypotheses as much as possible and identify your variables. For example, suppose a newspaper article stated that the average weight of cats is 5 lbs. Suppose you think that the average weight of cats is more than 5 lbs. Then the hypotheses are:

H0: μ < 5
Ha: μ >5
Here μ is the population average weight of cats. This would be an example of an Upper Tail test.

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Hi, I am recently doing a research as follows: It is my opinion that the average female manager at any company earns less than the 150 thousand dollars a year. So prove what I claim, I will select a ...

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The solution gives detailed steps on creating an example with statements of null and alternative hypotheses in real life and identifying type I and II errors.

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Statistics: Setting up null and alternative hypotheses, interpreting Type I and Type II errors

We know from past research that very satisfied customers give the XYZ-Box video game system a satisfaction rating on our rating scale that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use a random sample of 65 satisfaction ratings to provide evidence supporting the claim that the mean satisfaction rating for the XYZ-box exceeds 42.

a. Letting m represent the mean satisfaction rating for the XYZ-Box, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that m exceeds 42.

b. In the context of this situation, interpret making a Type I error; interpret making a Type II error.

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