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AreaRand Var X= -3.5409Area Left ZscoreArea Right ZscoreMean00.00020.9998Std Dev1Zscore-3.5409Area between ZscoresZ1 Score1.1429Rand Var X161Z2 Score-12.8571Rand Var X212Standard Normal CurveMean57Mean0STD Dev3.5Dev1Area0.8735Calculate Zscore given Rand variable, mean, & STD DevZscore= ( Rand var X - Mean)/ Stand dev
Standard deviation of the meanSample Deviation4.6Sample Mean21.7Sample size35Mean of sample21.7Deviation from the mean0.7775Finding Zscore given Area or ProbabilityProbability (area left)0.04Mean0Std Dev1Zscore-1.750686
Population size30,000.00 Sample size50sample dist p0.6Mean of the sampling distribution = saple dist p5% of N1,500.00 Standard dev of sampling dist of p =np(1-p)=12np(1-p)=Normal Dist =1Std Dev = 0.069282Sampling distribution of a sample proportion
Determine Point EstimateUpper Bound0.418Level of confidence0.9Lower Bound0.162α = 1 - Lvl of Conf0.100n1200α/20.05Point estimate0.29Zα/2 Critical value1.645Margin of Error0.128critical probibility0.95P= 1-α/2X348Mean0Std Deviation1Zα Critical value1.28Finding size Samplen37Confidence0.95x37.30Margin of E4confidence0.90or Previous Estimatepp11.3Point Estimate ()pp1.0081α/20.025