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:

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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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