Use this information for items # 46 - #50. Conduct a t-test for an independent-measures design. You will compare two groups of student participants on how long it takes them to complete a jigsaw puzzle (elapsed time in seconds). Group 1 will receive an encouraging introduction to this study. They will be told they have been selected because professor observations suggest they are good at puzzles-plus the puzzles are easy. Group 2 will receive a discouraging introduction to this study. They will be told they have been selected because professor observations suggest they may find puzzles challenging-plus the puzzles they will complete are very difficult. The researcher is curious about whether the Type of Introduction affects puzzle completion time. There are 15 participants in each group. The sample mean time of completion for Group 1 was 20 minutes. The sample mean time of completion for Group 2 was 28 minutes. S(M1-M2) = 4.5 (this is your error term) t= (M₁-M₂) /S(M1-M2) Set alpha at .05 Use two-tails. (Show all work and at each step, round all calculations to two decimals) 46. In statistical notation, what is your null hypothesis? There will be a significant difference in the type of introduction given with the puzzle completion time. 47. How many gf do you have in this independent-measures design? 15-1=14 B. What is your t-statistic? SHOW YOUR WORK, 49. What is your critical t? 50. Do the t-test. What is your decision? Reject Ho or Fail to Reject Ho