Please determine the best analytical method for each of the 8 questions below and conduct the appropriate analysis. Write up the analysis for each and submit on Canvas
Inferential statistics questions
Qn1. A school psychologist would like to test the effectiveness of a behavior-modification technique in controlling classroom outbursts. Every time a child has an outburst, then ten minutes of free time is taken away. Four children were followed for six months and numbers of outbursts were recorded before treatment and then six months after treatment. The psychologist wants to see if there is a decline in outbursts over time. Test the null hypothesis that there is no difference in outbursts. Use a .05 alpha level.
- An education statistics professor wants to see if her class has a similar average GRE quantitative score as the national average of 500. The class members have the following scores. Use an alpha level of .05.
Class GRE Quant Scores
H0: µ = 500
Ha: µ ≠ 500
- A soccer coach conducts a keeper clinic over the summer. She uses two different techniques to train – one for morning session children (n=13) and one for afternoon session children (n=13). She records the number of saves made by keepers at an end-of-summer drill. She wants to see if there was a difference in number of saves by keepers in the morning sessions and afternoon sessions, thereby indicating that one method would be better than the other. Use a .05 alpha level.
Qn4. A professor gives a standardized achievement test to students after going through a course in sociology. She wants to see if her students scored similarly to the national average of sociology students on the test. The population of first year sociology students has an average score of 170 on the test. Use an alpha level of .05 and determine if there is a difference between her students’ scores and the population mean.
Qn5. An English teacher wants to see if composition scores for three classes in her school are similar or different. She suspects that there are teacher differences in how composition is taught. At the end of the semester she collects scores from a standard composition test from students in each class. She has a teacher from another school score the tests, and then she takes a random sample of the scores. The scores for each class are listed below. Test the null hypothesis that there is no difference in scores. Use an alpha level of .05.
Qn6. A study on the reaction time of children with cerebral palsy reports a mean of 1.6 seconds on a particular task. A research believes that the reaction time can be reduced by using a motivating set of directions. Twelve children were given the motivating set of directions and their reaction times are recorded. A separate sample of twelve children was given no motivating directions, and completed the same task. Test if there is a difference between tes sample with motivating directions and the one without motivating directions. Use an alpha of .05.
Qn7. A method to improve math achievement was tested by an elementary school teacher. Students were given a math pretest then given the particular math tutoring. After tutoring, a post test was given. Test if there is a difference between pre and post math scores. Use alpha of .05.
Qn8. An educational psychologist designs a research study to investigate different problem-solving strategies. Subjects are randomly assigned to one of five different groups. Each group is taught to use a different problem-solving strategy. After the training, each subject is given a series of problems to solve using the various strategies. The data below are times each subject spent solving the problems. Test the hypothesis that there is no difference among groups in terms of time spend solving a problem. Use and alpha of .05.
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