2. A survey was done in a community in which residents were asked if they felt that family planning counseling was needed in the community. The tabulation in the accompanying table gives the opinions and the number of children of respondents. Determine whether there is a difference in mean number of children of respondents. Great need Some need No need Number ofchildren 0 [0 l7 1 5 10 3 7 9 4 3 3 2 9 IS I 9 l0 3 7 I l I 9 ID I It] 9 2 9 8 18 78 102 198 (grand total) 1 8 7.8 10.2 6.6 (grand mean) 1) State the hypotheses. 2) What are thm and Dfm? 3) What is your critical P value based on degrees of freedom of between groups and within groups? 4) Calculate F. 5) What is your conclusion based on your calculated F and critical F