Statistics Module 8 (Questions and Answers A+ Graded 100% Verified)

Statistics Module 8 (Questions and Answers A+ Graded 100% Verified) Independent ANS: sample data drawn from one population are completely unrelated to the selection of sample data from the other population dependent ANS: each data value in one sample can be paired with corresponding data values in the other sample confidence interval for population means ANS: (sample mean 1 - sample mean 2) - margin of error < population mean 1 - population mean 2 < (sample mean 1 - sample mean 2) + margin of error margin of error for population means ANS: z(c) * sqrt( (((standard deviation 1)^2) / sample size 1) + (((standard deviation 2)^2) / sample size 2) ) margin of error for population means (test statistic) ANS: t(c) * sqrt( (((standard sample deviation 1)^2) / sample size 1) + (((standard sample deviation 2)^2) / sample size 2) ) d.f. ANS: minimum of n1 - 1 and n2 - 1 n ANS: number of trials r ANS: number of successes out of n trials p hat ANS: number of successes / number of trials q hat ANS: 1-p hat p ANS: population probability of success situation that allows us to find a confidence interval for p1 - p2 ANS: (n1 * phat1) > 5;(n1 * qhat1) > 5;(n2 * phat2) > 5;(n1 * qhat2) > 5; confidence interval for p1 - p2 ANS: (p hat 1 - p hat 2) - E <= p1 - p2 <= (p hat 1 - p hat 2) + E margin of error for probability ANS: z(c) * (standard deviation hat or sqrt( ( (phat1 * qhat1) / n1 ) + ( (phat2 * qhat2) / n2 ) ) ) left-tailed test ANS: H1: population mean of the differences of paired data values < 0 right-tailed test ANS: H1: population mean of the differences of paired data values > 0 two-tailed test ANS: H1: population mean of the differences of paired data values =/= 0 test statistic ANS: (sample mean of the differences in data values - population mean of the differences in data values) / (sample standard deviation of the differences/sqrt(number of data pairs))