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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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question

(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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