Some investigators have proposed that students have élévated blood pressure during finals week. To test this hypothesis 8 students volunteered to have their blood pressure taken at the beginning of the semester and then again during finals week. The blood pressure data (diastolic) is listed below. Conduct a test to determine if there is a difference between the first week and finals week. Student Jason Gemma Gabriel Leila Ismael Marilyn Donna Geraldine Week 1 89 76 84 89 74 66 56 74 Finals Week 92 78 92 94 93 74 65 73

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Some investigators have proposed that students have elevated blood pressure
during finals week. To test this hypothesis 8 students volunteered to have their
blood pressure taken at the beginning of the semester and then again during
finals week. The blood pressure data (diastolic) is listed below. Conduct a test to
determine if there is a difference between the first week and finals week.
Student
Jason
Gemma
Gabriel
Leila
Ismael
Marilyn
Donna
Geraldine
Week 1
89
76
84
89
74
66
56
74
Finals Week
92
78
92
94
93
74
65
73
Transcribed Image Text:Some investigators have proposed that students have elevated blood pressure during finals week. To test this hypothesis 8 students volunteered to have their blood pressure taken at the beginning of the semester and then again during finals week. The blood pressure data (diastolic) is listed below. Conduct a test to determine if there is a difference between the first week and finals week. Student Jason Gemma Gabriel Leila Ismael Marilyn Donna Geraldine Week 1 89 76 84 89 74 66 56 74 Finals Week 92 78 92 94 93 74 65 73
Solution
1.
Ho: The average life span today is not greater than 72 years.
Ha: The average life span today is greater than 72 years.
0.05
2.
3. t-test (one-tailed)
4. df=n-1
df=100-1=99
t₁ = 1.66 Tabular value
5. Computation using the formula for sample mean compared with population mean
tc =
Substitute the given values in the formula
tc
(x-μ)√n
S
=
F = 69
= 72
μ
n = 100
S = 8.9
NOW
(69-72)√/100
8.9
tc = -3.37
6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66.
Therefore, we reject our null hypothesis (Ho).
7. Formulate conclusion: The average life span today is greater than 72 years.
Transcribed Image Text:Solution 1. Ho: The average life span today is not greater than 72 years. Ha: The average life span today is greater than 72 years. 0.05 2. 3. t-test (one-tailed) 4. df=n-1 df=100-1=99 t₁ = 1.66 Tabular value 5. Computation using the formula for sample mean compared with population mean tc = Substitute the given values in the formula tc (x-μ)√n S = F = 69 = 72 μ n = 100 S = 8.9 NOW (69-72)√/100 8.9 tc = -3.37 6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66. Therefore, we reject our null hypothesis (Ho). 7. Formulate conclusion: The average life span today is greater than 72 years.
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