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a.) H 0 : H a : b.) Identify the test statistic and calculate its value c.) Cons

ID: 3228388 • Letter: A

Question

a.) H0: Ha:

b.) Identify the test statistic and calculate its value

c.) Construct the rejection region or calculate p-value

d.) Decision and interpret it

l. (22 pts) The table below shows the Mathematics SAT scores for 7 randomly selected students who took the tests twice. Student Score on first try 457 419 343 539 394 413 392 Score on second try 532 523 427 607 444 490 428 Assume the populations of scores for both times are normally distributed. At a -0.05, test the claim that the Mathematics SAT scores improved on the second try.

Explanation / Answer

Below are the null and alternate hypothesis

Test statistics, t = -8.3729

p-value = 0.0001

As p-value is less than significance level of 0.05, we reject the null hypothesis,

This means there are evidence that scores in second attempt are more than first attempt.

Null Hypothesis Alternate Hypothesis H0: 1 - 2 >= 0 Ha: 1 - 2 < 0