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Midterm

# Memory Aid for Midterm

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School
Department
Course
Professor
Suren Phansalker
Semester
Winter

Description
ADM 2304 M Jaclyn Ebert 6221545 One Sample T-Test – One Population Mean Interpretation: 95% of the confidence intervals contain the 1. ( ) true population mean. ( ) Left-Tail Z-Test Binomial Test ( ) Right-Tail Z-Test ( ) ( ) Two-Tail Z-Test ( ) Assumptions: random sample, normally distributed Assumption: ̂ ̂ If sample is >10% of population, ×denominator by: √ ( ) ( )( ) ̅ ( ) 2. ⁄√ n = sample size/# trials, x = number of successes, n-x = number of failures, p = probability of success, q = (1-p) = 3. probability of failure. ( ) ( ) Find in t-Table Testing for Change: ⁄ ⁄ Test Two-Tailed Right Tailed Left Tailed 4. Since *| | + * +, reject For Different? More? Less? There is sufficient evidence to show CI Symmetric Asymmetric Asymmetric Since *| | + * +, do not reject Lower Bound Upper Bound There is insufficient evidence to show CI & HT is straddled Consistent by CI 5. Symmetrical CI for Two-Tailed: ( ̅ Normality: Outliers? ̅ ( ̅ ̅ ( ) √ Test mean with normal distribution – Parametric Test Upper bound for Left-Tailed: + ( ) Test median for non-normal distribution – Non-Parametric Lower bound for Right-Tailed: – = (- ) Difference of the Mean T-Test – Two Sample/Pop Means 6. p-val = , ( ) | |- ( ) Find in middle of t-Table – Subtract from 1 for Right T ( ) Two-Tailed T-Test Since {p-val = } < { }, reject Assumptions: samples independent & normally distributed Since {p-val = } > { }, do not reject Unequal Population Variance: One Sample Z-Test – One Population Mean ( ̅ ̅ ) ( ̅ ̅ ) Same as T-Test. Used when population SD is known. ( ̅ ̅ ) ̅ √ ( ) ⁄ ̅ ⁄√ √ ( ) LS = α One Tail Zcrit Two Tailed 0.001 3.0902 0.0005 3.2905 0.005 2.5758 0.0025 2.8070 ( ) ( ) 0.01 2.3263 0.005 2.5758 CI Zcrit 90% 1.6449 ( ) 0.02 2.0537 0.01 2.3263 ⁄ 0.05 1.6449 0.025 1.9600 95% 1.9600 0.1 1.2816 0.05 1.6449 98% 2.3263 0.2 0.8416 0.1 1.2816 99% 2.5758 ( ̅ ̅ ) √ ( ) One Proportion Z-Test Equal Population Variance with pooling: ( ) # = population % = ( ) Left-Tail Z-Test for decrease ( ) ( ) ( ) Right-Tail Z-Test for increase ( ) Two-Tail Z-Test for different ( ̅ ̅ ) ( ̅ ̅ ) ̂ ̂ ̂ ( ̅ ̅ ) √ . / Assumption: ̂ ̂ (̂ ) (̂ ) ⁄ ( ) ⁄ ( ) (̂) √ √ ( ̅ ̅ ) ( ) ⁄ ( ) ( ) ̂ ̂ There is (in)sufficient evidence to show that there is a difference in the mean bet
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