Question

a researcher wanted to determine whether there were differences in extroversion between among people who are the oldest siblings, middle siblings, and youngest siblings. Five randomly selected individuals from each category were assessed on extraversion by a blind rater( someone unaware of the research hypothesis).Higher scores on the assessment indicated more extroversion.The means for each group and the sums of squares are given as oldest sibling=m=22.2, middle sibling m=17.6, youngest sibling m=19.8, SS within= 72.0, SS between= 48.0. At the @=.05 level, do these data indicate that there is a difference in extroversion among people who belong to the different sibling categories? if so, which category/categories are significantly different from which category/categories? State which statistical test you should use, show the value of each obtained inferential statistic (eg, F=29.17), the degrees of the freedom and the critical values from the relevant table, and state whether you should accept or reject the null hypothesis. Calculate effect size when applicable. Perform any additional analyses you may need to explain the results and then explain, in non-statistical language( completely in layperson's terns)what the practical conclusion of your analysis is, including the direction of the mean differences.

Answer 1