John Paul teaches five sections of Introductory Psychology. He wants to know whether or not the average score on the second exam is the same for all five sections. John Paul's student's exam scores are listed below. Use an ANOVA test with a level of significance of 5% to test whether the average score is the same for all five sections. Section 1: 62, 76, 70, 66, 94, 59, 76, 65, 72, 79, 52, 46, 74, 43, 68, 61, 75, 65, 63, 58, 62, 76, 70, 61, 76, 73, 53, 57, 73, 78, 51, 54, 42, 66, 58, 72, 44, 87 Section 2: 65, 52, 51, 67, 64, 75, 56, 68, 72, 82, 74, 73, 83, 42, 73, 85, 67, 46, 70, 51, 72, 53, 28, 58, 62, 68, 58, 85, 71, 57, 60, 79, 64, 60, 69, 65, 66 Section 3: 83, 67, 69, 72, 67, 92, 57, 57, 57, 61, 90, 75, 62, 69, 50, 57, 60, 94, 83, 69, 68, 65, 81, 60, 81, 67, 72, 78, 79,65 Section 4: 63, 75, 55, 70, 75, 81, 50, 77, 59, 42, 44, 85, 57, 62, 33, 45, 82, 67, 68, 47, 75, 69, 48, 96, 79,77 Section 5: 30, 82, 83, 54, 54, 59, 75, 43, 68, 58, 58, 45, 72, 67, 58, 82, 50, 63, 55, 50, 84, 71, 68, 80, 85, 40, 68, 85, 73, 84, 47, 48, 57, 56 Step 1: State the null and alternative hypotheses. Ho: P. H. Ha: At least one mean isn't equal to the other means VV Y Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F dfbetween=4 Step 3: Find the p-value of the test statistic. Z₁ = #₂ = #₂ = #₁ = Between Within V distribution with numerator degrees of freedom ✓and denominator degrees of freedom dfwithin = 160 SS P(FEV Question Help: D Post to forum Submit Part ANOVA Table df MS F ✓ Part 3 of 4

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▾ Part 1 of 4
John Paul teaches five sections of Introductory Psychology. He wants to know whether or not the
average score on the second exam is the same for all five sections. John Paul's student's exam
scores are listed below. Use an ANOVA test with a level of significance of 5% to test whether the
average score is the same for all five sections.
Section 1:
62, 76, 70, 66, 94, 59, 76, 65, 72, 79, 52, 46, 74, 43, 68, 61, 75, 65, 63, 58, 62, 76, 70, 61, 76, 73, 53, 57,
73, 78, 51, 54, 42, 66, 58, 72, 44, 87
Section 2:
65, 52, 51, 67, 64, 75, 56, 68, 72, 82, 74, 73, 83, 42, 73, 85, 67, 46, 70, 51, 72, 53, 28, 58, 62, 68, 58, 85,
71, 57, 60, 79, 64, 60, 69, 65, 66
Section 3:
83, 67, 69, 72, 67, 92, 57, 57, 57, 61, 90, 75, 62, 69, 50, 57, 60, 94, 83, 69, 68, 65, 81, 60, 81, 67, 72, 78,
79,65
Section 4:
63, 75, 55, 70, 75, 81, 50, 77, 59, 42, 44, 85, 57, 62, 33, 45, 82, 67, 68, 47, 75, 69, 48, 96, 79, 77
Section 5:
30, 82, 83, 54, 54, 59, 75, 43, 68, 58, 58, 45, 72, 67, 58, 82, 50, 63, 55, 50, 84, 71, 68, 80, 85, 40, 68, 85,
73, 84, 47, 48, 57, 56
Step 1: State the null and alternative hypotheses.
Ho:
P.H.
Ha: At least one mean isn't equal to the other means ✓✓
Y Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
dfbetween = 4
Step 3: Find the p-value of the test statistic.
₁ =
#₂ =
Es=
Z₁ =
#₁ =
MI
Between
Within
✓✓distribution with numerator degrees of freedom
✓and denominator degrees of freedom dfwithin 160
SS
P(FVV
Question Help: D Post to forum
Submit Part
ANOVA Table
df
MS
F
1
MacBook Pro
Part 3 of 4
Transcribed Image Text:▾ Part 1 of 4 John Paul teaches five sections of Introductory Psychology. He wants to know whether or not the average score on the second exam is the same for all five sections. John Paul's student's exam scores are listed below. Use an ANOVA test with a level of significance of 5% to test whether the average score is the same for all five sections. Section 1: 62, 76, 70, 66, 94, 59, 76, 65, 72, 79, 52, 46, 74, 43, 68, 61, 75, 65, 63, 58, 62, 76, 70, 61, 76, 73, 53, 57, 73, 78, 51, 54, 42, 66, 58, 72, 44, 87 Section 2: 65, 52, 51, 67, 64, 75, 56, 68, 72, 82, 74, 73, 83, 42, 73, 85, 67, 46, 70, 51, 72, 53, 28, 58, 62, 68, 58, 85, 71, 57, 60, 79, 64, 60, 69, 65, 66 Section 3: 83, 67, 69, 72, 67, 92, 57, 57, 57, 61, 90, 75, 62, 69, 50, 57, 60, 94, 83, 69, 68, 65, 81, 60, 81, 67, 72, 78, 79,65 Section 4: 63, 75, 55, 70, 75, 81, 50, 77, 59, 42, 44, 85, 57, 62, 33, 45, 82, 67, 68, 47, 75, 69, 48, 96, 79, 77 Section 5: 30, 82, 83, 54, 54, 59, 75, 43, 68, 58, 58, 45, 72, 67, 58, 82, 50, 63, 55, 50, 84, 71, 68, 80, 85, 40, 68, 85, 73, 84, 47, 48, 57, 56 Step 1: State the null and alternative hypotheses. Ho: P.H. Ha: At least one mean isn't equal to the other means ✓✓ Y Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F dfbetween = 4 Step 3: Find the p-value of the test statistic. ₁ = #₂ = Es= Z₁ = #₁ = MI Between Within ✓✓distribution with numerator degrees of freedom ✓and denominator degrees of freedom dfwithin 160 SS P(FVV Question Help: D Post to forum Submit Part ANOVA Table df MS F 1 MacBook Pro Part 3 of 4
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