418-Test1-Practice-singlesampleT

418-Test1-Practice-singlesampleT - SD population =unknown...

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1 Single Sample t-Test Research Question : Does my class have a good grasp of basic math? The average teenager scores approximately 70 on a basic math test. Research Hypothesis My class will score better than the average teenager Design Randomly sample six people in class Administer basic math test Each person takes the test only once Math scores in the sample are normally distributed
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2 X X X X X State Hypotheses, Set Criterion H0: Mean class Mean population Ha: Mean class > Mean population 2-tailed alpha of .05 μ x = μ S x X X X X X Rejection Region (Mean class - Mean popul > 0) . DATA Class sample: 62,92,75,68,83,95 n = 6; df = 5 Mean sample =79.17 SD sample =13.17 Mean population =70
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Unformatted text preview: SD population =unknown Finding the Critical Value of t 2-tailed, alpha=.05 df=n-1=5 S x X X X X X x = X X X X X 3 Critical Value of t 2-tailed, alpha=.05 df=n-1=5 t crit =2.571 S x X X X X X x = X X X X X Calculate Observed t t obs = (79.17-70)/5.38 = 9.17/5.38 = 1.70 s x = s / n =13.17/ 6 = 13.17/2.45 = 5.38 4 Make a Decision t crit =2.571 t obs =1.70 t obs < t critical Results are NOT statistically signicant We cannot reject H0 we FAIL to infer support for Ha My class is not better than the average teenager in basic math ability S x X X X X X x = X X X X X...
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This note was uploaded on 09/15/2010 for the course PSY 418 taught by Professor Haley during the Spring '08 term at University of Texas at Austin.

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418-Test1-Practice-singlesampleT - SD population =unknown...

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