1. Please answer the following true or false questions. The comparison distribut

Question

1. Please answer the following true or false questions. The comparison distribution for an independent means i test is the distribution of differences between means The variance of the distribution of differences between means is the difference of the estimated variance of the two populations of means The independent means test requires that you have information about means and variances of the two populations you are testing. An independent means t test is an appropriate way to test whether two groups who 1) diet or 2) exercise are more likely to lose weight. An independent means i test is an appropriate way to test whether the same students perform better at statistics 1) before or 2) after a statistics class. T F T F T F 2. A researcher wants to know if men and women start dating at different ages. He asks four women and five men to report how old they were when they had their first date. The women report they were 13, 15, 14, and 15. The men report they were 15, 17, 18, 16, and 16. Using a cutoff of a-.05. solve this problem using all five steps of hypothesis testing, and state your final conclusion in words. Step 1: Restate question as a research hypothesis and a null hypothesis about populations Population 1 (1): Population 2 (): Research hypothesis (H): Null hypothesis (Ho): Step 2: Determine the characteristies of the comparison distribution (i.e,its mean, variance, standard deviation, and shape). Men Women (X- M 13 15 14 15 15 17 18 16 16

Explanation / Answer

SOlution-

1. True. T test to test two independent samples includes testing the differences between the the means of two populations.

2. False. Variance of the distribution in t test is not equal to difference of the estimated variances of two samples from the respective populations. Infact it is the summation of two divided by respective sample sizes.

3. False. It is not necessary to know about population variances and means. Sample means and variances would suffice if sample sizes are large.

4. True. Here independent t test would be helpful as the two populations are independent here.

5. False. Here paired t test would be helpful as the two populations are dependent here.

Answers

TY!

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