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Statistical Analysis and Hypothesis Testing Solutions: Paired t-test, Two-Sample t-test, and Proportions: Solutions Assignment 6

Solved assignment covering paired and two-sample t-tests along with proportion analysis.

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    Solutions - assignment6 Using the Minitab the obtained output for the paired t - test is, Solution#1: The point estimate of the population mean difference is, 1.0500 1.1070 0.0570 d           . Solution#2: T he stand ard error of the sample mean diff erence is , / 0.0467 d s n  Solution#3: T he 95% con fi dence inte rval for the population mean difference is ( - 0.163, 0. 049). The correct option is ( C) . Solution#4: The appropriate hypotheses are, 0 : , : a H H       The correct option is (B ) . Solution#5: T he value of the appropriate test statistic is, 1.22 t   Solution#6: From the output, the P - value is 0.253, which is greater than 0.20. The appropriate option is (E). Solution#7: The P - value is greater than the significance level of 0.05. So, fail to reject the null hypothesis. Therefore, it can be concluded that t here is significant evidence the population mean difference between the two patterns is equal to 0. The appropriate option is (A). Solution#8: The appropriate option is (B). Using the Minitab the obtained output for the two - sample t - test (equal variances) is, Solution#9: From the output the pooled standard deviation is, 6.9741 pooled s  The pooled sample variance is ,   2 2 6.9741 48.638 pooled s   Solution#10: The value of the standard error of the diff erence between the sample means is 2.1746. Solution#11: A 95% confidence interval for the di fference in population means is 19.7 4.39  . The appropriate answer is (B). Solution#12: The appropriate hypotheses are, 0 : , : M F a M F H H       The correct option is (C ) . Solution#13: The value of the appropriate test statistic is, 9.06 t 

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