We want to see the effect of sample size and the probabilities of type I and type II errors on each other. We are testing the hypotheses H0: µ ≤ 6 against H1: µ > 6. The data is from a normal population and we can assume that σ = 1.8. The null hypothesis will be rejected if the sample mean is more than 6.6. Part A) Using the sample sizes 20, 40, 50, 70, 80, 100 find α for this test at each sample size and plot the results with sample size as the x-axis and α values as the y-axis.
We want to see the effect of
Part A) Using the sample sizes 20, 40, 50, 70, 80, 100 find α for this test at each sample size and plot the results with sample size as the x-axis and α values as the y-axis.
Part B) If the true mean us actually 7.0, use the same sample sizes as in part a to find β and plot a graph of sample size versus β
Part C) Fix the sample size at 40, and find the power of the test for values of α = 0.01, 0.02, 0.05, 0.10, 0.15 and 0.20. Create a graph with the α on the x-axis and power on the y-axis; add another series with the type II error on the y-axis (you can do another graph with α and β if you need to).
Thank you for your help!!
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