Psych 311 1nd Edition Lecture 16 Outline of Last Lecture I Single Sample T Test Example II Independent Sample T Test III Independent Sample T Test Example Outline of Current Lecture I Independent Samples t test Activity Current Lecture I Independent Samples t test Activity We re interested in studying the permanence of academic learning We want to test the retention of high school algebra for two groups of participants 50 years after they graduated from high school One group had received additional college math courses and the other group had no advanced math courses in college Do the data indicate a significant difference between the two groups Data nadd 8 nno add 4 Madd 50 Mno add 42 SSadd 108 SSno add 100 State Hypothesis two tailed H0 Madd Mnoadd 0 H1 Madd Mnoadd 0 Determine Critical Region two tailed 05 Critical region is 2 228 Calculate pooled variance s 2p ss1 ss2 df1 df2 s 2p 108 100 7 3 s 2p 208 10 s 2p 20 8 Calculate standard error s M1 M2 s 2p n1 s 2p n2 s M1 M2 20 8 8 20 8 4 s M1 M2 2 6 5 2 s M1 M2 7 8 s M1 M2 2 79 Calculate t t Madd Mnoadd s M1 M2 t 50 42 2 79 These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute t 8 2 79 t 2 87 Make a decision We reject our Ho in favor of the H1 Calculate Cohen s d d lM1 M2l s 2p d l50 42l 20 8 d 8 4 56 d 1 75 Conclusion We should reject our Ho in favor of H1 and can conclude that the additional tests did make a statistically significant difference and had improved the adult s retention of high school algebra
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