Practice for Final

.docx
School
University of Texas, Rio Grande Valley **We aren't endorsed by this school
Course
REHS 2321
Subject
Statistics
Date
Sep 3, 2023
Pages
6
Uploaded by CountTurtle7794 on coursehero.com
Measurement and Techniques Final Exam Review Important formulas and values: x̄ = group mean µ = populationmean (usually given and is only used in one-sample) s = standard deviation s 2 = variance S x̄ = standard error of mean (SEM) t obt = t value that we calculate t crit = t critical value that is on our cheat sheet r = correlation r 2 = shared variance % One sample T-test: t obt = ¯ x µ S ¯ x df = N-1 Independent T-test: t obt = 1 ¿ 2 ( x 1 − ¯ x 1 ) N 1 N + ( x 2 −¯ x 2 ) N 1 N ¿ ^ (mean of group 1 - mean of group 2)/ ( varianceof group 1 / N )+( variance of group 2 / N ) ^ DO NOT FORGET TO SQUARE ROOT THE DENOMINATOR df = (N 1 + N 2 - 2) Paired T-test: r = s s ( ¿¿ 1 )( ¿¿ 2 ) ¿ ( ( x 1 −¯ x 1 ) ( x 2 − ¯ x 2 ) N 1 ) ¿ df = N-1 SEM S x̄ = s N Variance s 2 = ( x ¯ x ) N 1 Standard Deviation s = ( x −¯ x ) N 1
Measurement and Techniques Final Exam Review t obt = 1 ¿ 2 ( x 1 − ¯ x 1 ) N 1 N + ( x 2 −¯ x 2 ) N 1 N 2 ( r 1,2 ) ( S ¯ x 1 ) ( S ¯ x 2 ) ¿ Problem ___ One sample T test: 1 = __________ µ = __________ s = __________ s 2 = __________ S 1 = __________ df = __________ t crit (0.05) = __________ t crit (0.01) = __________ t obt = __________ Conclusion: Independent T test: 2 = __________ s = __________ (s 2 ) 2 = __________ S 2 = __________ df = __________ t crit (0.05) = __________ t crit (0.01) = __________ t obt = __________ Conclusion: Paired T test: 1 = __________ 2 = __________ (s 2 ) 1 = __________ (s 2 ) 2 = __________ (S x̄) 1 = __________ (S x̄) 2 = __________ r = ___________
Measurement and Techniques Final Exam Review r 2 = ___________ df = __________ t crit (0.05) = __________ t crit (0.01) = __________ t obt = __________ Conclusion: Problem 1: A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. Scores on the measure range from 0 to 60 with high scores indicative of high life satisfaction; low scores indicative of low life satisfaction. For one sample test, µ = 40.5. Group 1: N X (x- x̄) (x- x̄) 2 1 25 2 38 3 39 4 45 5 46 6 48 7 48 8 51 9 52 10 55 11 56 SUM Group 2: N X (x- x̄) (x- x̄) 2 1 15 2 19 3 22 4 24 5 24 6 26 7 27 8 31 9 36 10 37 11 41 SUM One sample: Independent: Paired: H 0 = ¯ x = µ H 0 = 1 = x̄ 2 H 0 = 1 = x̄ 2 H I = ¯ x≠µ H I = 1 2 H I = 1 2 Questions:
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