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a. State the linear model and define each term in the context of the problem b.Perform the test of hypothesis to test the effect of aroma on the time it takes for a child to complete the paper maze at 5% level of significance. Also, compute for the reliability of the experiment. Ho: Ha: Test Statistic: Decision Rule: P-value: Decision: Conclusion:

a. State the linear model and define each term in the context of the problem b.Perform the test of hypothesis to test the effect of aroma on the time it takes for a child to complete the paper maze at 5% level of significance. Also, compute for the reliability of the experiment. Ho: Ha: Test Statistic: Decision Rule: P-value: Decision: Conclusion:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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a. State the linear model and define each term in the context of the problem

b.Perform the test of hypothesis to test the effect of aroma on the time it takes for a child to complete the paper maze at 5% level of significance. Also, compute for the reliability of the experiment.

Ho:

Ha:

Test Statistic:

Decision Rule:

P-value:

Decision:

Conclusion:

Homogeneity of Variances Test (Levene's) F df1 df2 1.40 3 12 0.290 Normality tests statistic Shapiro-Wilk 0.978 0.947 Kolmogorov-Smirnov 0.122 0.947 Anderson-Darling 0.178 0.903 Note. Additional results provided by moretests Estimated Marginal Means - Trmt 95% Confidence Interval Мean SE Trmt Lower Upper Аpple 160 18.6 120 201 Banana 148 18.6 107 188 Plain 150 18.6 109 191 Skunk 179 18.6 138 220
Transcribed Image Text:Homogeneity of Variances Test (Levene's) F df1 df2 1.40 3 12 0.290 Normality tests statistic Shapiro-Wilk 0.978 0.947 Kolmogorov-Smirnov 0.122 0.947 Anderson-Darling 0.178 0.903 Note. Additional results provided by moretests Estimated Marginal Means - Trmt 95% Confidence Interval Мean SE Trmt Lower Upper Аpple 160 18.6 120 201 Banana 148 18.6 107 188 Plain 150 18.6 109 191 Skunk 179 18.6 138 220
Do aromas affect the time to complete a task? To answer this question, a psychologist conducted an experiment to investigate the effects of four different aromas (plain, apple scent, banana scent and lavender scent) on the children's time to complete a paper maze. He randomly assigned the different aromas to four homogenous classrooms with four children of the same age and IQ. The time it takes for each child to complete the paper maze was recorded and summarized as follows: AROMA TIME (in seconds) Plain 201 163 107 129 Apple Scent 183 161 140 157 Banana Scent 155 184 127 125 Lavender Scent 198 173 235 110 ANOVA - Time Sum of Squares Mean Square F P n? df Trmt 2436 3 812 0.587 0.635 0.128 Residuals 16608 12 1384
Transcribed Image Text:Do aromas affect the time to complete a task? To answer this question, a psychologist conducted an experiment to investigate the effects of four different aromas (plain, apple scent, banana scent and lavender scent) on the children's time to complete a paper maze. He randomly assigned the different aromas to four homogenous classrooms with four children of the same age and IQ. The time it takes for each child to complete the paper maze was recorded and summarized as follows: AROMA TIME (in seconds) Plain 201 163 107 129 Apple Scent 183 161 140 157 Banana Scent 155 184 127 125 Lavender Scent 198 173 235 110 ANOVA - Time Sum of Squares Mean Square F P n? df Trmt 2436 3 812 0.587 0.635 0.128 Residuals 16608 12 1384
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