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Mr. Piolo and Gerard administered their researcher made test to measure the mathematical ability of male Grade VI pupils on some solid figures. They randomly took 10 male pupils of Kalalake Elementary School. Their scores in each solid figure are shown below. Students 1 Cube 9 Cylinder 5 2 7 6 3 68 4 66 545 5 636 6 3 6 755 5 847 4 7 9 5 3 10 85 Is there difference in their mathematical ability (mean scores) on the above mentioned solid figures? Assume that the test score is approximately normally distributed at .01 level of significance?

Mr. Piolo and Gerard administered their researcher made test to measure the mathematical ability of male Grade VI pupils on some solid figures. They randomly took 10 male pupils of Kalalake Elementary School. Their scores in each solid figure are shown below. Students 1 Cube 9 Cylinder 5 2 7 6 3 68 4 66 545 5 636 6 3 6 755 5 847 4 7 9 5 3 10 85 Is there difference in their mathematical ability (mean scores) on the above mentioned solid figures? Assume that the test score is approximately normally distributed at .01 level of significance?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- Mr. Piolo and Gerard administered their researcher made test to measure the mathematical ability of male Grade VI pupils on some solid figures. They randomly took 10 male pupils of Kalalake Elementary School. Their scores in each solid figure are shown below. Students 1 Cube 9 Cylinder 5 2 7 6 3 6 8 466 6 545 4 5 6 3 6 7 55 5 847 953 10 985 Is there difference in their mathematical ability (mean scores) on the above mentioned solid figures? Assume that the test score is approximately normally distributed at .01 level of significance?
Transcribed Image Text:- Mr. Piolo and Gerard administered their researcher made test to measure the mathematical ability of male Grade VI pupils on some solid figures. They randomly took 10 male pupils of Kalalake Elementary School. Their scores in each solid figure are shown below. Students 1 Cube 9 Cylinder 5 2 7 6 3 6 8 466 6 545 4 5 6 3 6 7 55 5 847 953 10 985 Is there difference in their mathematical ability (mean scores) on the above mentioned solid figures? Assume that the test score is approximately normally distributed at .01 level of significance?
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 HOW (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 HOW (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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