Please refernece attachment. See images.

A researcher conducted a study to investigate the e'ect of the type of post on the number of people who "like" the post. To do so, the researcher obtained ID volunteers. Each volunteer was instructed to post a picture of themselves smiling and a political meme. The Under in which the posts were to be made was randomized for IICh volunteer. The table below shows the number of likes each post received as well as the dilTerence (picture political] in the number of likes. Vollmlneer 1 z 3 4 5 a 7 s 9 1|: Pidure ' 53 62 ' 1'5 45 3? ' 49 76 55 42 63 Pblitiui ' 60 ' 43 ' m ' 33 4? ' 53 1'5 39 64 34 Ditferume'idme W} 2 14 5 1 I0 9 1 n 22 l Do these data provide convincing evidence at the a = 0.01 level that the true mean dierence in number of likes for picture posts and political posts is greater than zero? STATE: Hg: ' - .. , likes H:_' .llikes PLAN: Make a graphical display of the differences, then check the 3 correct statements for a paired ttesl for a mean di'erence. I: NerrnalfLaIge Sample: i'lcia' is small, but a graphical _ ID%: The 10% condition is met. display of the differences shows no strong skewness or outliers. I: Random: The volunteers were randome assigned a NorrrLaliLaIge Sample: name = ID is large (1)30) treatment order. I: 10%: The 10% condition does not apply. Random: This condition is not met. I: Normalllarge Sample: rThis condition is not met. _ Random: A random sample of it) volunteers were selected. I: l0%: The 10% conditions is not met. Istatistic = :] (Round to 2 decimal places) The Pvalue is E - \fHow well can you type with your eyes closed? A study was conducted using 6 adult volunteers who are procient at typing. Each volunteer was given two tests. Test A required each volunteer to type tot) words that were written on a piece of paper. Test B required each volunteer to type It]?! words while blindfolded. During this test, the volunteers put on headphones and heard the words being read to them From a recording. The order in which the tests were given were randomized for each volunteer: The table below shows the number of words each volunteer typed correctly as well as the ditfcrence (A B) in the number of words typed correctly. \\'irrlmrlreer 1 z 3 4 5 a m A (Vision) 75 34 63 68 err 90 m: I! (No vision) I 54 ' T6 ' as ' 73 I 65 I 42 Dferenoe (A 3;. ' 2r ' a u s 215 43 Do these data provide convincing evidence at the a: = D. l 0 level that the number of words that adult volunteers like these would type correctly using these two tests differs, on average? STATE: Ha: _- - - - correct words Ha::- , , con'ectwords