Here u is the mean difference in the population from which the subjects were One-sample t test draw. The null hypothesis says that no improvement occurs, while H, says that T-Test there is an improvement. Step 2: Test statistic. The 21 differences have x=0.9567andS=12.5479 The one-sample t statistic is therefore x-00.9567-0 =0.349 s/Vn125479√21 Step 3: P-value. Find the P-value from the Paired-sample t test 0 ) distribution Table c shows that 0.349 is less than the 0.25 critical value T-Test The P-value is therefore greater than 0.25 SPSS gives the value P=0. 3652 Conclusion The data do not support the aim that listening to Mozart improve performance. The average improvement is small, just 0.96. This small improvement is not statistically significant at even the 25%21 41 Here is the mean difference in the population from which the subjects were draw. The null hypothesis says that no improvement occurs, while says that there is an improvement. • Step 2: Test statistic. The 21 differences have =0.9567 and =12.5479 The one-sample t statistic is therefore μ H1 x s 0 0.9567 0 0.349 12.5479 21 x t s n − − == = 42 • Step 3: P-value. Find the P-value from the t(20) distribution. Table C shows that 0.349 is less than the 0.25 critical value. The P-value is therefore greater than 0.25. SPSS gives the value P=0.3652. • Conclusion. The data do not support the claim that listening to Mozart improve performance. The average improvement is small, just 0.96. This small improvement is not statistically significant at even the 25% level. 22 43 One-sample t test 44 Paired-sample t test