Essay About Distribution  N And Normal Distribution

Satistical Summary Table
Ch08ConditionFindToolFormula(known σ)Normal distribution or any distribution  n ≥ 30[pic 1]Z[pic 2](known σ)Normal distribution or any distribution  n ≥ 30n > 5% N[pic 3]Z[pic 4](unknown σ)Normal distribution  n < 30[pic 5]t[pic 6]     df = n - 1n is largenp > 5nq > 5pZ[pic 7]Normal distribution[pic 8][pic 9][pic 10]want to find [pic 11]nZ[pic 12]want to find [pic 13]n Z[pic 14]Commonly used Z-values2-tailed1-tailedαConfidential IntervalprobabilityZprobabilityZ.00599.5%.49752.81.4952.575.01099%.4952.575.492.3267.02597.5%.48752.24.4751.96.05095%.4751.96.451.645.10090%.451.645.41.2817Ch09ConditionHypothesisToolFormula(known σ)Normal distribution or any distribution  n ≥ 30Two-tailed[pic 15]One-tailed[pic 16] or [pic 17]or [pic 18] or [pic 19]Z[pic 20](known σ)Normal distribution or any distribution  n ≥ 30n > 5% N[pic 21]Z[pic 22](unknown σ)Normal distribution  n < 30[pic 23]t[pic 24]     df = n - 1n is largenp > 5nq > 5[pic 25]Z[pic 26]Normal distribution[pic 27][pic 28][pic 29]Null True(e.g. Good Man)Null False(e.g. Bad Guy)Not Reject Null(i.e. Accept Null)Accept Correctly(e.g. married a good man)Type II error (β)(e.g. married a bad guy)Reject NullType I error (α)(e.g. rejected a good man)Reject Correctly(e.g. rejected a bad guy)Ch10ConditionHypothesisToolFormulaIndependent samples(known σ)Normal distributionor any distribution  n1 ≥ 30n2 ≥ 30Two-tailed[pic 30]One-tailed…Z[pic 31]Independent samples (unknown σ)Normal distributionσ1 =σ2[pic 32]t[pic 33]Independent samples (unknown σ) Normal distributionσ1 ≠σ2[pic 34]t[pic 35]Related samples(e.g. Any improvement?)[pic 36]t[pic 37]          [pic 38][pic 39]n is largen1 p1 > 5n1 q1 > 5n2 p2 > 5n2 q2 > 5[pic 40]Z[pic 41]Normal distributionTwo-tailed[pic 42]One-tailed[pic 43]F[pic 44]          [pic 45][pic 46]