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Two-sample procedures whenσ1 andσ2 are UNKNOWNPooled variance procedure -3 assumptions need to be valid: independent random samples, normaldistributed populations, and equal population variances.Pooled sample variance:3 assumptions:independent simple random samples, normally distributed populations, and equal population variances.Example - *use same table and assumeα= 0.05.*WEEK TENHypothesistests for thepaireddifferenceprocedure -EXAMPLE:Example - is there sufficient evidence to suggest that the mean timespent browsing products on the webpages isdifferent between thetwo sites? Assumeα= 0.05.Welch’s approximate t procedure -2 assumptions: independent simple randomsamples, and normally distributed populations.Inference for population proportions -Population proportion = p (parameter)Sample proportion = p̂(statistic)Confidence intervals for p -Hypothesis tests on p -Sample Size Determinationfor a Fixed Margin of Error -x = # of something that havethe characteristics of interest.