ACT Scores A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Illinois scores showed a DUo mean of 21.2. If the population standard deviation in each case is 3, can we conclude the national average is greater than the Illinois average? Use a = 0.01 and use u, for the nationwide mean ACT score. Part 1 of 5 (a) State the hypotheses and identify the claim. H1 = H2 not claim claim This hypothesis test is a one-tailed v test. Part 2 of 5 (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): +2.33 Part: 2 / 5 Part 3 of 5 (c) Compute the test value. Always round z score values to at least two decimal places. = = 1