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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
Solve using following 7 steps/format provided in picture. Required to do the 7 steps provided in pic. Write readable thanks.
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?
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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