Discussion 1 300 Words

When one thinks of the normal distribution, the first thing that comes to mind is the bell curve and grades. While this is one example of a normal curve that is widely recognized, it is not the only one. Try to come up with a unique normal distribution that your classmates have not posted already. Explain your curve with items such as the mean and standard deviation, if available. What do the areas in the intervals µ – σ to µ + σ, µ – 2σ to µ + 2σ and µ – 3σ to µ + 3σ represent as far as areas under the normal curve? If you have the mean and standard deviation, calculate what the actual intervals are for your curve. Please include any citations regarding where you obtained your data for the curve.

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Discussion 2 300 Words

One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Please include an example with actual numerical values for the intervals in your post.

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Discussion 3 300 Words

Share with your peers the null and alternative hypotheses for a decision that is relevant to your personal or professional life. Additionally, identify the Type I and Type II errors that could occur with your decision‐making process.

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Discussion 4 300 Words

Regression analysis can be used to analyze how a change in one variable impacts the other variable, such as an increase in marketing budget increasing sales. Find a unique area of your life where one variable impacts the other variable (and that are both measurable) and do a regression analysis on it. Be sure to include the coefficient of determination as well as the test of significance. Share your results and make any comments as to whether or not there is a possibility of potential problems (causation or extrapolation) with your results.