An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child New Era University College BIBMT1223/1224 – Introduction to Statistics was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times. Child 1 2 3 4 5 7 Trial 1 100 150 150 110 130 120 118 Trial 2 90 130 150 90 105 110 120 a) At a = 0.01, can it be concluded that learning took place? b) At a = 0.10, can it be concluded that learning took place? c) Compare you answer for (a) and (b).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in
seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child
New Era University College
BIBMT1223/1224 – Introduction to Statistics
was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second
assembly times was less than the mean of the first assembly times.
Child
1
2
3
4
6
7
Trial 1
100
150
150
110
130
120
118
Trial 2
90
130
150
90
105
110
120
a) At a = 0.01, can it be concluded that learning took place?
b) At a = 0.10, can it be concluded that learning took place?
c) Compare you answer for (a) and (b).
d) Find the 98% confidence interval of the difference in means.
Transcribed Image Text:An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child New Era University College BIBMT1223/1224 – Introduction to Statistics was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times. Child 1 2 3 4 6 7 Trial 1 100 150 150 110 130 120 118 Trial 2 90 130 150 90 105 110 120 a) At a = 0.01, can it be concluded that learning took place? b) At a = 0.10, can it be concluded that learning took place? c) Compare you answer for (a) and (b). d) Find the 98% confidence interval of the difference in means.
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