1. Decide whether you would use a paired samples t-test or an independent samples t- test, in each of the following studies. Identify the IV, its levels, the DV, and state the null and alternative hypotheses. a. A company wants to test the effectiveness of their weight loss program, so they measures clients' weight before and after they undergo 6 weeks of the program. b. A researcher wants to study the difference between the left hand and the right hand in motor skills. S/he has participants place small round beads in a bowl first with their left hand, and then with their right hand, and times how many seconds it takes them to finish the task with each hand, as a measure of their motor skills. c. A researcher wants to study the difference between the left hand and the right hand in motor skills. S/he has one group of participants place small round beads in a bowl with their left hand, and then a separate group of participants place small round beads in a bowl with their right hand, and times how many seconds it takes each group to finish the task, as a measure of their motor skills. 2. In a sample of 42 students, we are interested in whether the amount of money students think a first date should cost is different based on whether they are in a romantic relationship or not. The mean amount stated by the 21 students in a relationship was $58.81, with a standard deviation of $47.17, while the 21 students not in a relationship thought first dates should cost a mean of $48.10 with a standard deviation of $24.16. State the null and alternative hypotheses, conduct the appropriate type of t test, and write conclusion interpreting your findings.

3. A researcher sampled a group of fathers and sons to see whether there was an age difference in basketball skill. S/he measured the number of free throws each participant could make in three minutes. The following data was collected. State the null and alternative hypotheses, conduct the appropriate type of t test, compute the appropriate effect size, and place a 95% confidence interval around the difference between means. Write conclusion interpreting your findings. Family ID# # of free throws (Father) # of free throws (Son) 1 5 7 2 3 6 3 5 4 4 2 6 5 4 7 6 3 8