Assume that under the null hypothesis, has an expected value of 500 and a standard deviation of 20.Under the alternative hypothesis,the expected value is 550.Sketch the probability density function for the null and the alternative hypothesis in the same figure.Pick a critical value such that the p-value is approximately 5%.Mark the areas,which show the size and the power of the test.What happens to the power of the test if the alternative hypothesis moves closer to the null hypothesis,i.e. ,, = 540,530,520,etc.?

Question

Assume that under the null hypothesis,  has an expected value of 500 and a standard deviation of 20.Under the alternative hypothesis,the expected value is 550.Sketch the probability density function for the null and the alternative hypothesis in the same figure.Pick a critical value such that the p-value is approximately 5%.Mark the areas,which show the size and the power of the test.What happens to the power of the test if the alternative hypothesis moves closer to the null hypothesis,i.e. ,,  = 540,530,520,etc.?

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The Answer of Assume that under the null hypothesis,  has an expected value of 500 and a standard deviation of 20.Under the alternative hypothesis,the expected value is 550.Sketch the probability density function for the null and the alternative hypothesis in the same figure.Pick a critical value such that the p-value is approximately 5%.Mark the areas,which show the size and the power of the test.What happens to the power of the test if the alternative hypothesis moves closer to the null hypothesis,i.e. ,,  = 540,530,520,etc.?

Assume That Under the Null Hypothesis, Has an Expected