A psychologist is examining the educational advantages of a preschool program and suspects that there will be significant differences in achievement based on preschool attendance. Twenty-four randomly selected 4th grade children are used in the study. Half attend a preschool program and half do not. Each child's achievement score is given below.
Make sure to use the appropriate t-test for this analysis.Preschool:8,6,8,9,7,9,6,9,8,9,7,8No Preschool: 6,5,7,6,8,5,7,5,6,7,5,6
a. What is the null and alternative hypothesis (in symbols) for this t-test?
b. Use the appropriate t-test statistic?
Is the t-test significant?c.State you conclusion