Question

2. A groups of developmental psychologists wanted to examine under what conditions children of 24 month of age can generate the most number of words. They randomly selected 45 children and randomly assigned them to three different conditions. Then they measured the number of words the children uttered in the three conditions. Specify the null hypothesis and test it at the significance level of .05. What is your conclusion? Make sure to provide the summary table from SPSS. Child playing alone After bath After dinner 21 47 39 2 19 42 6 24 10 1 12 24 7 48 29 53 53 34 0 20 45 6 17 31 10 29 35 18 41 65 9 67 55 23 38 57 25 51 98 2 31 43 24 58 75

Answer 1

Here we will run one way ANOVA to test that

H0: MEANS of all 3 groups (Child playing alone After bath After dinner) are equal.

Vs

H1 : at least 2 has different means.

For this anova testing we proceed with testing for it and get the output as

so we can see corresponding to word the p-value is 0.0000 <0.05

Hence we will reject Ho and claim that the means of these 3 groups are different significantly