Hypothesis Testing and Confidence Interval Analysis

A solved assignment applying hypothesis testing and confidence interval analysis in research.

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Hypothesis Testing and Confidence Interval AnalysisSolution:Null hypothesis H0: μ1-μ2=0 against H1: μ1-μ2≠0Since the sample size n <30 therefore the test will be t test and the test statisticst=𝑠𝑎𝑚𝑝𝑙𝑒1𝑚𝑒𝑎𝑛−𝑠𝑎𝑚𝑝𝑙𝑒2𝑚𝑒𝑎𝑛−(μ1−μ2)√(𝑠12𝑛1+𝑠22𝑛2)where s12,s22is the sample variance of the sample 1 and sample2, n1 and n2 are the sample size of those two samples.Under the null hypothesis t the results are as follows:

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