3. You have been asked to present the findings of the FBI intern in .docx

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3. You have been asked to present the findings of the FBI intern in Question 1 to congress. The previous report performed analysis of gun-related incidence in the USA. This work featured a random sample of size n = 25 that is obtained from a normal population with standard deviation . The sample mean is computed to be # = 88.8. The null hypothesis is H0 : = 80 versus the alternative hypothesis H1 : > 80 with = 0.1. Assume we know that the variance of the underlying population is 2 = 900. Calculate the critical value for this scenario. For the purpose of the congresspeople, provide a short definition of statistical power and an explain a Type II error. Define the equation for statistical power. Explain how a trade-off exists between statistical significance and power. Draw a figure to demonstrate your understanding.
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Unformatted text preview: Three separate lobbyist groups (who happen to have a nuanced understanding of statistical analysis) each posit that the true mean value (1) is higher than believed. The three groups believe it to be 81, 88 and 95, respectively. Use the equation for statistical power to calculate the probability of making a Type II error. What do these results suggest about how statistical power changes as the suggested mean differs from the Three separate lobby groups (who happen to have a nuanced understanding of statistical analysis) each posit that the true mean value (1) is higher than believed. The three groups believe it to be81, 88 and 95, respectively. Use the equation for statistical power to calculate the probability of making a Type II error....
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