QUESTION #3 (20 marks)

Let's say we are examining the effects of language development on being in preschool for 5, 10, or 20 hours per week. A group of children all the same age, pre levels of language development, first language at home, and SES background are randomly assigned to one of the 3 groups. After 6 months in the preschool their language development was assessed using a standardized scale to measure language acquisition where higher scores represent higher acquisition. Do the groups differ in their language scores dependent on how many hours a week they attend preschool? Test at an alpha at 0.05 and use all the steps of hypothesis testing for full marks.

Table 2. Language acquisition scores by number of hours in preschool.

87 87 89 86 85 91 76 99 96 56 85 87 78 79 89 98 81 90 77 82 89 66 78 96 75 85 96 67 91 93