Currently 30 students are enrolled in a statistics course at a local university.

Question

Currently 30 students are enrolled in a statistics course at a local university. The professor is overly co pathetic to their situations - having to take the course in the first place - and decides to start giving out daily worksheets beginning after the second test. Test whether or not the worksheets helped with test performance given the following results (assume the .05 level of significance): Average difference in test scores comparing Test 2 and Test 3: b = 5/64 Standard error of the mean difference: S5 = 1.37 Express the null hypothesis for this matched/related samples scenario using the technical notation: H_1: What is your critical value? What is your calculated test statistic? Conclusion: Did the worksheets have a real effect on test performance? (don't forget to mention error!)

Explanation / Answer

a)

Here, we hope that the test scores improved, so Ha: ud > 0. Hence,

Ho: ud <= 0 [ANSWER]

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b)

As df = n - 1 = 30 - 1 = 29, then at right tailed 0.05 level, by table/technology,

tcrit = 1.699127027 [ANSWER]

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c)

Here,

t = D / sD = 5.64/1.37 = 4.116788321 [ANSWER]

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d)

As t > 1.699, we reject Ho.

There is significant evidence at 0.05 level that the test scores improved after worksheets are handed out. [CONCLUSION]

[There could be some error in this analysis as tests 2 and 3 may not have the same level of difficulty.]

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Hi! If you meant another idea by saying "error", please resubmit this question together with the definition of "error" in your class. That way we can continue helping you! Thanks!

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