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Math · Statistics And Probability
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To see if a new training program is effective, you have employees take a pre-test before training and a post-test after training. If the post-test scores are significantly improved, you can conclude the training program is effective.

Conduct a hypothesis test for the null hypothesis that there is no significant improvement using the paired t-test with alpha = 0.05.

Use the data in this table:

Pre-test Score Post-test Score Improvement
51 59 8
58 83 25
66 51 -15
40 51 11
47 66 19
74 96 22
38 85 47

What is the value of the test statistic, t subscript 0 ?

What is the value associated with the critical region, t subscript c r i t end subscript ?

If you would reject the null hypothesis, enter 1;
If you would fail to reject the null hypothesis, enter 2.

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