Research methods II homework. Need step by step guidance on how to correctly answer each question

appendix in textbook pq 379 2. Based on prior research of all students in Monroe County, the average number of push-ups that deviation of 8. students can complete is a population mean of 12 push-ups with a population standard You select a random sample of 160 fifth grade students drawn from student body population in Monroe County. Among the fifth grade students selected into the sample, the number of push-ups they can complete is a sample average of 15. Can you conclude (at the alpha = .05 level) that fifth grade students differ from the all students in terms of the average number of push-ups they can complete? Perform a statistical hypothesis test to answer the questions below. a. What assumptions must be made about this data before engaging in hypothesis testing? b. Based on this research question, state the research and null hypotheses. C. What is the critical value of the test statistic? d. Calculate the obtained test statistic: e. Compare the obtained and critical statistics - can you reject the null hypothesis? f. Provide a substantive interpretation of your results as it pertains to the original question - in other words, can you conclude that fifth grade students are different from the population of all students? 3.If you are performing a one-sample t-test, with a sample size of 150, using a non-directional hypothesis, and you get an obtained test statistic of t = 2.58, what is the p value associated with this test statistic