Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured he humber 5% significance level (a0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonterroni 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 20 SUMMARY Group 24 14 18 Count Sum Averoge Veriance 5.25 2916667 12 24.00067 18 21 Toddler 21 22 Preschool 48 Kindergarten 105 21 ANOVA Source of Veriation Between Groups Wthin Groups SS MS Avale Ferit 2 281.165 27364 0.000O 4.1021 10 10.275 562.3200 101.75 Total 665.0709 12 Test Two-Sample Assuming igual Variances Test Two-dample Assuming Equal Variances -Test Two-Sample Assuming fqual Variances Preschool indergorten Toddier Kindergporten 5.25 Toddier Preschool 21 Mean 12 21 Mean 5.25 12 Mean 2.917 24.667 Varianoe 2.917 Veriance 24.647 Varlance 4. Observations Observations 4. Observations Poaled Variance Hypothesized Mean Difference Peoled Variance Hypothesied Mean Dference 13429 13.792 Pooled Variane 4307 Hypothesised Mean Difference of df df 4,661 -41.585 0.000004 -2.570 Stat Stat 1Stat 0.004 PTet one tal Critical one tal PTe twe tal Critical twe tal PTet one tail Critical onetail 0.021 P(Tet one tail t Critical one tail P(Tet) two ta Criical two tail 1895 1.043 0.008 P(Tet two tail Creical teetal 0.042 a.00000 2.365 2365 2.447

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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
7.
%3D
20
24
SUMMARY
Average Variance
5.25 2.916667
Count
Sum
Groups
Toddler
14
18
3.
18
21
21
22
Preschool
48
12 24.66667
Kindergarten
105
21
ANOVA
MS
Pvalue
Fcrit
Source of Variation
Between Groups
SS
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 Kindergorten
Preschool Kindergarten
Toddier Preschool
5.25
21
Mean
12
21
Mean
5.25
12
Mean
2.917
Variance
24.667
Variance
2.917
24.667
Variance
Observations
4.
4
Observations
Observations
Pooled Variance
4.107
Pooled Variance
13.429
13.792
Pooled Variance
Hypothesized Mean Difference
Hypothesized Mean Difference
df
Hypothesized Mean Difference
df
df
-3.661
t Stat
P(Tcat) one-tail
t Critical one-tail
P(Tcat) two-tail
t Critical two-tail
-11.585
t Stat
P(T<=t) one-tail
t Critical one-tail
1 Stat
-2.570
0.000904
0.004
0.021
P(T<=t) one-tail
t Critical one-tail
P(T<at) two-tajl
t Critical two-tail
1.895
1.895
1.943
0.000008
0.008
P(T<t) two-tail
tCritical two-tail
0.042
2.365
2.365
2.447
4659
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 7. %3D 20 24 SUMMARY Average Variance 5.25 2.916667 Count Sum Groups Toddler 14 18 3. 18 21 21 22 Preschool 48 12 24.66667 Kindergarten 105 21 ANOVA MS Pvalue Fcrit Source of Variation Between Groups SS 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 Kindergorten Preschool Kindergarten Toddier Preschool 5.25 21 Mean 12 21 Mean 5.25 12 Mean 2.917 Variance 24.667 Variance 2.917 24.667 Variance Observations 4. 4 Observations Observations Pooled Variance 4.107 Pooled Variance 13.429 13.792 Pooled Variance Hypothesized Mean Difference Hypothesized Mean Difference df Hypothesized Mean Difference df df -3.661 t Stat P(Tcat) one-tail t Critical one-tail P(Tcat) two-tail t Critical two-tail -11.585 t Stat P(T<=t) one-tail t Critical one-tail 1 Stat -2.570 0.000904 0.004 0.021 P(T<=t) one-tail t Critical one-tail P(T<at) two-tajl t Critical two-tail 1.895 1.895 1.943 0.000008 0.008 P(T<t) two-tail tCritical two-tail 0.042 2.365 2.365 2.447 4659
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