1) Arlene knows her students stats marks are normally distributed and she believes the marks on her 1st test are better

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1) Arlene knows her students stats marks are normallydistributed and she believes the marks on her1st test are better than the marks on the 2nd test, arare event indeed. She randomly selects 9 students, andobserves their 1st test and 2nd test, see below.
Student
1
2
3
4
5
6
7
8
9
1st
65
70
55
75
80
80
66
72
90
2nd
68
72
65
72
84
80
70
76
88
Does Arlene have evidence to support her claim and what is thep-value or significance level of her appropriate test? Assume alpha= 0.05
options:
no, since her p-value is 0.095
yes, since her p-value is 0.0475
no, since her p-value is 0.0475
yes, since her p-value is .000
yes, since her p-value is 0.095