Hello, can someone please help me with this business statistics question?

I am struggling to understand please help ASAP!

Everything is attached and the drop down bars are listed underneath the question (A-F).

Question 1 drop down is:

- A two sample t test.

- A paired t test.

Peer teaching and learning is not a new concept and has its origin in Aristotle's use oi archonsor student leaders. A random sample of 70 students is chosen to take a diagnostic test on statistics. alter which they were enrolled in a peerassisted learning (PAL) program for statistics at MS). Half of the students (n: 35) joined it, while the remaining halt in = 35) decided not to join the PAL. All 70 students took the same diagnostic test at the end of the session. Each student's test scores (out of 60) were recorded in thnosticTestScoresxlsx. The educational researcher is interested in answering the following research question. Research Question: \"Does engaging in peer-assisted learning and teaching activities make a difference to students' learning in statistics measured by the average diagnostic test scores?" Figure 1: PALJoarticipants Figure 2: NoniPALJsanicipants u. , u, , 0 _ 9 _ 3 r 3 r 3 E H. H. u. u, o c , I I I I I I I I I I I I I I I I 20 25 30 35 40 45 50 55 20 25 30 35 40 45 50 55 Diagnostic test scores Diagnostic test scores Figure 3: Differences (PAL-Non-PAL) m Figure 4: Boxplots 9 , L5 , i g i a, _ I .,, _ I v I g a a m - - s - _ 3 E; I I E s _ a 3 ' I m I 4; u , u, _ I u o , 3 ' 8 I I I I I I I an 720 .19 0 1n PALJarIIpranIs NonJ'ALertIoIpants Diagnostic Lest scores Answer the following questions by choosing the most correct option or typing the answer: 1. (1 mark) The most appropriate test for these data is: s 0 2. (1 mark) Which graphical display would be useful to check nomiality assumption for this hypothesis? . Figure 1 . Figure 2 . Figure 3 . Figure 4 . Figure 1 s 2 . Figure 3 SI 4 . No need to check normality assumption Im-nmclnm) . All four figures are needed on 0 . (1 mark) How can you check the assumption of equal variances? . Comparative boxplots could be used (e.g. if the sizes of boxes are similar or not) . Descriptive statistics such as variance, standard deviation and range could be used . Descriptive statistics such as mean and median could be used . The histogram of differences could be used . Both A & B could be used mmunm) . No need to check the assumption of equal variances For the remaining questions you may assume that any releimnt assumptions have been met. 4. (2 marks) The absolute value oi the test statistic is equal to [3dp) 5. (1 mark) The degrees of freedom is equal to (Integer) 6. (1 mark) The p-value is larger than 0.05 s 7. (2 marks) The test shows that the diagnostic test scores were 0 A. significantly different between students who participated in the PAL program and those who did not, possibly higher for those who participated in the program. B.sign ificantly different between students who participated in the PAL program and those who did not, possibly higher lor those who did not participated in the program. C. not significantly different students who participated in the PAL program and those who did not. DiagnosticTestScores AutoSave . OFF LE Share t Draw Page Layout Formulas Data Review View Tell me Home Insert Insert v O Calibri (Body) 11 AA ab Wrap Text v General 2x Delete v Analyse Conditional Format Cell Sort & Find & Filter - v E = = Merge & Centre v $ ~ % 9 Select Data A Formatting as Table Styles Format v Paste B Che x Office Update To keep up to date with security updates, fixes and improvements, choose Check for Updates. E8 X fx T U H J K L M N 0 P Q R S G B C D E F PAL_participants Non_PAL_participants 42.6 38.6 26.1 34.8 20.4 33.9 33.5 36.3 35.4 42.3 35.7 35.8 26.9 54.1 40.2 42.9 30.8 45.4 29 39.3 30.7 38.8 29.8 42.4 35.5 46.6 30.7 43.6 35.4 34.4 31.5 14.2 28.9 28.9 33.2 39.8 32.4 42 28.4 34.1 31.1 43.2 29.5 37.5 33.3 34.9 29.3 41 29.8 35.9 19.3 39.7 29.7 27.6 31.7 37.6 37.6 31.9 34 50.9 24.5 14.7 25.7 44.2 23.5 32.2 26.1 28.2 36 30.5 34.2 38 39