Toy Assembly Test 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 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. At a = 0.025, can it be concluded that learning took place? Use the P-value method. Assume that all variables are normally or approximately normally distributed. Let u₁ be the trial 1 average and p = μ₁ −μ₂. Child Trial 1 Trial 2 1 150 150 Send data to Excel 2 150 3 145 4 5 6 100 130 90 105 124 130 120 116 7 115 118

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(i) State the hypotheses and identify the claim.

(ii) Compute the test value. Round the answer to at least three decimal places.

(ii) Select the correct interval for P-value.

(a) P-value > 0.01

(b) P-value < 0.01

(c) 0.01 < P-value < 0.025

(d) P-value > 0.025

(iii) Make the decision

 

Toy Assembly Test 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 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. At a = 0.025, can it be concluded that learning took place? Use the P-value method. Assume that all variables are normally or
approximately normally distributed. Let u, be the trial 1 average and μ = μ₁ −μ₂.
HD -
Child
Trial 1
1
150
2
Send data to Excel
3
Trial 2 150 100 130
5
150 145 124 130 120 116
7
90 105 115
118
27
Transcribed Image Text:Toy Assembly Test 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 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. At a = 0.025, can it be concluded that learning took place? Use the P-value method. Assume that all variables are normally or approximately normally distributed. Let u, be the trial 1 average and μ = μ₁ −μ₂. HD - Child Trial 1 1 150 2 Send data to Excel 3 Trial 2 150 100 130 5 150 145 124 130 120 116 7 90 105 115 118 27
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