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Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time san $% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer ( Toddler Preschool Kindergarten Anova: Single Factor 20 24 SUMMARY Groups Toddler 14 18 Count Sum Average Varionce 3 18 21 21 5.25 2.916667 22 Preschool 48 12 24.66667 Kindergarten 105 21 ANOVA Source of Variation Between Groups Within Groups MS Pvalue Ferit 2 281.1635 27.36384 0.000088 4.102821 10 10.275 562.320 102.75 Total 665.0769 12 t-Test: Two-Sample Assuming Egual Variances -Test: Two-Sample Assuming Equal Variances -Test: Two-Sample Assuming Equal Variances Toddler Preschool 5.25 Toddler Kindergarten Preschool Kindergarten Mean 12 Mean 5.25 21 Mean 12 21 Variance Observations Pooled Variance 2.917 24.667 Variance 2.917 Variance 24.667 4 Observations Observations 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference df Hypothesized Mean Difference Hypothesized Mean Difference df df t Stat 2.570 t Stat 11.585 t Stat 3.661 P(Teat) one-tail t Critical one-tail P(Tent) two tail t Critical two-tail 0.021 P(Tent) one-tail 0.000004 P(Teit) one tail 0.004 t Critical one-tail P(Tet) two tail t Critical two-tail 1943 1895 tCritical one tail 1.895 0.000008 P(Tet) two tail t Critical two-tail 0.042 0.008 2.447 2.365 2.365

Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time san $% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer ( Toddler Preschool Kindergarten Anova: Single Factor 20 24 SUMMARY Groups Toddler 14 18 Count Sum Average Varionce 3 18 21 21 5.25 2.916667 22 Preschool 48 12 24.66667 Kindergarten 105 21 ANOVA Source of Variation Between Groups Within Groups MS Pvalue Ferit 2 281.1635 27.36384 0.000088 4.102821 10 10.275 562.320 102.75 Total 665.0769 12 t-Test: Two-Sample Assuming Egual Variances -Test: Two-Sample Assuming Equal Variances -Test: Two-Sample Assuming Equal Variances Toddler Preschool 5.25 Toddler Kindergarten Preschool Kindergarten Mean 12 Mean 5.25 21 Mean 12 21 Variance Observations Pooled Variance 2.917 24.667 Variance 2.917 Variance 24.667 4 Observations Observations 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference df Hypothesized Mean Difference Hypothesized Mean Difference df df t Stat 2.570 t Stat 11.585 t Stat 3.661 P(Teat) one-tail t Critical one-tail P(Tent) two tail t Critical two-tail 0.021 P(Tent) one-tail 0.000004 P(Teit) one tail 0.004 t Critical one-tail P(Tet) two tail t Critical two-tail 1943 1895 tCritical one tail 1.895 0.000008 P(Tet) two tail t Critical two-tail 0.042 0.008 2.447 2.365 2.365

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 30PPS
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Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social play (associative or cooperative play). Interpret the Excel output obtained at the 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusions; round your answer to 2 decimal places). Toddler Preschool Kindergarten Anova: Single Factor %3D 7 7 20 6 9 24 SUMMARY Groups Toddler 5 14 18 Count Sum Average Variance 18 21 4 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 5 105 21 5 ANOVA Source of Variation df MS F P-value F crit Between Groups 562.3269 2 281.1635 27.36384 0.000088 4.102821 Within Groups 102.75 10 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Preschool Toddler Kindergarten Preschool Kindergarten Мean 5.25 12 Мean 5.25 21 Мean 12 21 2.917 24.667 Variance 2.917 Variance Observations Variance 24.667 5 Observations 4 4 Observations 5 4 Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference Hypothesized Mean Difference Hypothesized Mean Difference df 6 df 7 df 7 t Stat -2.570 t Stat -11.585 t Stat -3.661 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.021 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.000004 0.004 1.943 0.042 1.895 1.895 0.000008 0.008 2.447 2.365 2.365
Transcribed Image Text:Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social play (associative or cooperative play). Interpret the Excel output obtained at the 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusions; round your answer to 2 decimal places). Toddler Preschool Kindergarten Anova: Single Factor %3D 7 7 20 6 9 24 SUMMARY Groups Toddler 5 14 18 Count Sum Average Variance 18 21 4 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 5 105 21 5 ANOVA Source of Variation df MS F P-value F crit Between Groups 562.3269 2 281.1635 27.36384 0.000088 4.102821 Within Groups 102.75 10 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Preschool Toddler Kindergarten Preschool Kindergarten Мean 5.25 12 Мean 5.25 21 Мean 12 21 2.917 24.667 Variance 2.917 Variance Observations Variance 24.667 5 Observations 4 4 Observations 5 4 Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference Hypothesized Mean Difference Hypothesized Mean Difference df 6 df 7 df 7 t Stat -2.570 t Stat -11.585 t Stat -3.661 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.021 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.000004 0.004 1.943 0.042 1.895 1.895 0.000008 0.008 2.447 2.365 2.365
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