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Find the critical? value and identify the rejection? region

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Reference no: EM132164359

The table below shows the critical reading scores for 14 students the first two times they took a standardized test. At (alpha) α =? 0.01, is there enough evidence to conclude that their scores improved the second time they took the? test? Assume the samples are random and? dependent, and the population is normally distributed. Complete parts? (a) through? (f).

Student

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.

Score on first test

540, 405, 336, 600, 478, 545, 500, 441, 361, 514, 495, 516, 631, 388.

Score on second test

545, 425, 346, 638, 423, 567, 473, 445, 385, 531, 513, 566, 660, 409.

?(a) Identify the claim and state H0 and Ha.?

(b) Find the critical? value(s) and identify the rejection? region(s).? Identify the rejection? region(s).

(c) Calculate -d and sd.?

(d) Use the? t-test to find the standardized test statistic t.?

(e) Decide whether to reject or fail to reject the null hypothesis.?

?(f) Interpret the decision in the context of the original claim.?

Reference no: EM132164359

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