Exercise 2: Check your understanding of the t-test of independent means:1. A physical education teacher compared the scores of boys and girls in basketball and obtained the following data: Group (Boys) 9, 7, 5, 10, 9Group (Girls) 6, 5, 7, 3, 4
Q. Exercise 2: Check your understanding of the t-test of independent means:1. A physical education teacher compared the scores of boys and girls in basketball and obtained the following data: Group (Boys) 9, 7, 5, 10, 9Group (Girls) 6, 5, 7, 3, 4
Calculate Mean: Calculate the mean for each group.Boys: (9+7+5+10+9)/5=8Girls: (6+5+7+3+4)/5=5
Calculate Variance: Calculate the variance for each group.Boys: [(9−8)2+(7−8)2+(5−8)2+(10−8)2+(9−8)2]/4=4.5Girls: [(6−5)2+(5−5)2+(7−5)2+(3−5)2+(4−5)2]/4=2.5
Calculate Standard Error: Calculate the standard error of the difference between the means. SE=(54.5)+(52.5)=1.4=1.183
Calculate t-value: Calculate the t-value.t=1.1838−5=2.534
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