r. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam.   QUESTIONS -  a. Write the Decision Rule using the Critical Value(s), not p-values.  b. Calculate the value of the test statistic and the p-value. d. What is your decision regarding the Null Hypothesis? Frame your report in the context of this problem

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Author:Amos Gilat
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Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam.

 

QUESTIONS - 

a. Write the Decision Rule using the Critical Value(s), not p-values. 


b. Calculate the value of the test statistic and the p-value.


d. What is your decision regarding the Null Hypothesis? Frame your report in the context of this problem.

A
D
E
Alpha
0.05 given
Vn-2
t=
22 given
20 =B2-2
3
df
CV t
2.0860 =T.INv.2T(B1,B3)
4
-0.6599 ='Exercise1_Excel_Built-In f.'!E4
0.4354
5
|='Exercise1_Excel_Built-In f.'!E5
2
V1-r²
6.
7
-3.92729 =(B5*SQRT(B3))/SQRT(1-B6)
p-value 0.000834 =TDIST(ABs(B8),B3,2)
8.
9
10
Transcribed Image Text:A D E Alpha 0.05 given Vn-2 t= 22 given 20 =B2-2 3 df CV t 2.0860 =T.INv.2T(B1,B3) 4 -0.6599 ='Exercise1_Excel_Built-In f.'!E4 0.4354 5 |='Exercise1_Excel_Built-In f.'!E5 2 V1-r² 6. 7 -3.92729 =(B5*SQRT(B3))/SQRT(1-B6) p-value 0.000834 =TDIST(ABs(B8),B3,2) 8. 9 10
A
B
D
F
Times
Late/
Final Exam
1
Absent
Grade
Formula
Answer
22
l-COUNT(A2:A23)
84.00
92.50
2
1
n
3
2
df
21
=E2-2
4
3
16
46.00
Coefficient of Correlation, r -0.6599 =CORREL(B2:B23,C2:C23)
93.00 Coefficient of Determination, r? 0.4354
=RSQ(C2:C23,B2:B23)
5
4
2
=AVERAGE(B2:B23)
Mean of Late/Absent 9.6818
Std. Dev. Of Late Absent 7.6244
6
5
11
95.50
7
6
24
20.00
=STDEV.S(B2:B23)
8.
7
7
39.00
Mean of Final Exam 70.4091
=AVERAGE(C2:C23)
10
46.00
Std. Dev. Of Final Exam
24.0380
=STDEV.S(C2:C23)
10
9
19
63.00
73.50
98.00
11
10
2
12 11
2
13
12
17
24.50
14 13
73.00
69.50
8
15 14
20
16 15
19
49.00
17 16
23
68.50
18 17
70.00
19 18
4
75.50
20 19
2
78.00
21 20
7
97.00
22 21
2
100.00
23 22
2
93.50
Transcribed Image Text:A B D F Times Late/ Final Exam 1 Absent Grade Formula Answer 22 l-COUNT(A2:A23) 84.00 92.50 2 1 n 3 2 df 21 =E2-2 4 3 16 46.00 Coefficient of Correlation, r -0.6599 =CORREL(B2:B23,C2:C23) 93.00 Coefficient of Determination, r? 0.4354 =RSQ(C2:C23,B2:B23) 5 4 2 =AVERAGE(B2:B23) Mean of Late/Absent 9.6818 Std. Dev. Of Late Absent 7.6244 6 5 11 95.50 7 6 24 20.00 =STDEV.S(B2:B23) 8. 7 7 39.00 Mean of Final Exam 70.4091 =AVERAGE(C2:C23) 10 46.00 Std. Dev. Of Final Exam 24.0380 =STDEV.S(C2:C23) 10 9 19 63.00 73.50 98.00 11 10 2 12 11 2 13 12 17 24.50 14 13 73.00 69.50 8 15 14 20 16 15 19 49.00 17 16 23 68.50 18 17 70.00 19 18 4 75.50 20 19 2 78.00 21 20 7 97.00 22 21 2 100.00 23 22 2 93.50
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