The researchers hypothesized that parents tend to underestimate their youngest child's size because the youngest child is the baby of the family and everybody else is the family appears bigger compared to the baby. the sample of 39 parents who were surveyed underestimated their youngest child's height by 7.50 cm, on avg.; the standard deviation for the difference in actual heights and estimated heights was 7.20 cm and the data are not strongly skewed.) a. is there evidence that youngest children's h eights tend to be underestimated by thir parents? carry out a theory-based test using an appropriate applet or statistical software. find and report a p-value as well as a standardized statistic. b. interpret the p-value in the context of the study. c. using an appropriate applet or statistical software, find a 95% confidence interval for the difference. interpret the confidence interval in the context of the study. d. summarize your findings, being sure to invlude a discussion of statistical significance, estimation (confidence), causation, and gerneralization in your answer. e. what assumption do you have to make about the data in order for the validity conditions of the appropriate theory-based test to be satisfied?