# Statistic_Homework

Feb 3rd, 2012
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Example problems in Anova, T-Test for difference of mean, Z-test for proportion. Providing step by step solution, solved 3 different problems in detail with explanations.

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Problem Set #41. Last week we used Confidence Intervals to see if we could find a significant difference between the 2 work groups shown below. This week we studied a new formula for comparing the means of two independent groups. Use the data below to run that comparison.No Training ManualTraining Manual(Group 1)(Group 2)Mean = 76Mean = 86SD = 13SD = 12n=22n=23a. What would H0 and H1 be? b. Calculate the Tstat for the Groups c. What conclusions can you make? (Consider a 95% CI)Ans.We use two significant t-test based on the data provided -1. Use t-test for difference of means to unequal variance 2. Use t-test for Significance of means to equal variance Since Population variance are not equal here, We use t-test for difference of meansSet Up Hypothesis Null Hypothesis , There Is No-Significance between them Ho: u1 = u2 Alternate Hypothesis, There Is Significance between them - H1: u1 != u2Test StatisticX(Mean)=76Standard Deviation(s.d1)=13 ;Number(n1)=22Y(Mean)=86Standard Deviation(s.d2)=12; Number(n2)=23we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)to =76-86/Sqrt((169/22)+(144/23))to =-2.68| to | =2.68Critical ValueThe Value of |t ?| with Min (n1-1, n2-1) i.e 21 d.f is 2.08We got |to| = 2.6781 & | t ? | = 2.08Make DecisionHence Value of | to | > | t ?| and Here we Reject Hoa)Null Hypothesis , There Is No-Significance between them Ho: u1 = u2 Alternate Hypothesis, There Is Significance betwe

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