Question

In: Statistics and Probability

What is the major advantage to constructing a paired difference experiment when comparing two population means?...

What is the major advantage to constructing a paired difference experiment when comparing two population means?

a) The paired difference experiment accounts for dependence between data pairs.

b) The paired difference experiment benefits from the fact that selecting samples independently is always optimal

c) The test statistic is easier to calculate

d)The paired difference experiment guarantees a strong linear correlation

Solutions

Expert Solution

Option - a) The paired difference experiment accounts for dependence between data pairs.

                                                 

                                                                                                         

                                                                                                 

                                                                                         

                                                                      

                                                                                                     


Related Solutions

10.4 Comparing two means: Paired samples "We want to know if there is a difference between...
10.4 Comparing two means: Paired samples "We want to know if there is a difference between the size of the shoe between mother and daughter, for which a sample of 10 pairs of mother and daughter is taken and a hypothesis test is performed." Mother 7   7   8   8   6   9   8   6   7   9   Daughter 7 6 8 6 9 8 8 7 8 7 1. State the hypotheses 2. what is the average value of the paired differences...
When applying statistical tests involving comparing two means or a sample to a population mean, there...
When applying statistical tests involving comparing two means or a sample to a population mean, there are many organizational applications. For example, Human Resources may want to track entrance exam scores of their new hires. This would be an example of two mean comparison. In terms of the recent election, Gallup may take a sample and compare to a population of candidate votes (sample mean compared to a population mean). Think of an example in your organization of either one...
In constructing 95% confidence interval estimate for the difference between the means of two populations, where...
In constructing 95% confidence interval estimate for the difference between the means of two populations, where the unknown population variances are assumed not to be equal, summary statistics computed from two independent samples are: ?1=45,?̅1=756,?1=18,?2=40,?̅2=762,?2=15 (using 2-sample T menu) a. Calculate the 95% confidence interval for the true difference of two means. b. Base on the interval in the previous question, can one conclude there is a difference in means of two populations? Justify your answer.
Comparing Two Population Means with Known Standard Deviations In this problem you do know the population...
Comparing Two Population Means with Known Standard Deviations In this problem you do know the population standard deviation of these independent normally distributed populations The mean for the first set ¯xx¯ 1 = 15.49 with a standard deviation of σσ 1 = 2.5 There sample size was 13. The mean for the first set ¯xx¯  2  = 15.796 with a standard deviation of σσ 2 = 1.4 There sample size was 18. Find the test statistic z=   Round to 4 places. Find the...
Comparing two population means and not knowing the population standard deviation I would use which distribution?...
Comparing two population means and not knowing the population standard deviation I would use which distribution? A. Two Sample Z statistic, equation 11-2 B. Two Sample t statistic, equation 11-4, assuming equal variances C. Two Sample t statistic, equation 11-5, assuming unequal variances D. either B or C
When constructing confidence intervals for population means, an analyst must never use personal judgement to estimate
When constructing confidence intervals for population means, an analyst must never use personal judgement to estimate a preliminary value of the population standard deviation when attempting to select a sample size for desired margin of error. Calculations must be used for the preliminary value estimate. True False
We can infer a statistically significant difference between two population means when a) our estimates of...
We can infer a statistically significant difference between two population means when a) our estimates of the two means are different.        d) the 95% confidence intervals for the two means do not overlap. b) the variances of the two means do not overlap.     e) the 95% confidence intervals for the two means are of different widths. c) the standard deviations of the two means do not overlap.
Comparing two population proportions. We expect that there is no difference in proportion of status of...
Comparing two population proportions. We expect that there is no difference in proportion of status of employment between male and female recent business graduates. a) insert a frequency table and a bar chart or a pie chart labeled properly. USING EXCEL b) Perform hypothesis test: Calculate the P-value and make the conclusion (reject or fail to reject Ho). Insert Excel software output. C) Calculate the corresponding confidence interval and check if the conclusion is the same Status Gender Part-time F...
Construct the indicated confidence interval for the difference between the two population means.
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the \(85 \%\) confidence interval for \(\mu_{1}-\mu_{2}\). \(\bar{x}_{1}=958, \bar{x}_{2}=157, s_{1}=77, s_{2}=88\) A. \(800<\mu_{1}-\mu_{2}<802\) B. \(791<\mu_{1}-\mu_{2}<811\) C. \(793<\mu_{1}-\mu_{2}<809\) D. \(781<\mu_{1}-\mu_{2}<821\)
1. Confidence interval for the difference between the two population means. (Assume that the two samples...
1. Confidence interval for the difference between the two population means. (Assume that the two samples are independent simple random samples selected from normally distributed populations.) A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following summary statistics: College A College B = 3.1125 = 3.4385 s1 = 0.4357 s2 = 0.5485 n1 = 8 n2 =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT