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To Test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05?
(a) State the hypothesis for a right-tailed test.
(b) Obtain a test statistic and p-value assuming equal variances. Interpret these results.
(c) Is the difference in mean scores large enough to be important?
(d) Is it reasonable to assume equal variances?
(e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
At the .05 significance level, is the number of units produced on the afternoon shift larger?
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What is the purpose of a post-hoc test with analysis of variance? What is probabilistic equivalence? Why is it important?
When a 99% confidence interval is calculated instead of a 90% confidence interval with n being the same, the margin of error will be
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Search the Internet to find three applications of statistical concepts that you find interesting, that you encounter on a daily basis, or that you find in your profession.
A researcher is investigating the effectiveness of a new study-skills training program for elementary school children. A sample of n= 25 third grade children and each child is given a standardized achievement test at the end of the year.
The athletic director claims that the atendance is the same as last year. What is the test value needed to evaluate the claim?
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