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Question 5: What Is Power? The Trial Urban District Assessment (TUDA) measures educational progress within participating large urban districts. TU DA gives a reading test scored from 0 to 500. A score of 210 is a "basic\" reading level for fourth-graders. Suppose scores on the TU DA reading test for fourth-graders in your district follow a Normal distribution with standard deviation 0 = 40. In 2013, the mean score for fourth-graders in your district was 220. You plan to give the reading test to a random sample of 25 fourthgraders in your district this year to test whether the mean score [.1 for all fourthgraders in your district is still above the basic level. You will therefore test H0: 1.1 = 210 Ha: p. > 210 If the true mean score is again 220, on average, students are performing above the basic level. You learn that the power of your test at the 5% significance level against the alternative u = 220 is 0.346. A. Explain in simple language what \"power = 0.346\" means. B. Explain why the test you plan will not adequately protect you against deciding that average reading scores in your district are not above basic level. C. If you decide to use a = 0.10 in place of a = 0.05, with no other changes in the test, will the power increase or decrease