Question

solve using the p value approach and the critical value approach, and confirm that you get the same conclusion with each. please show work. thank you

Question 4-25 points Professor Cooper told me that he thinks political science students at WCU spend an average of 18 hours a month studying for our exams. To test his claim, I took a sample of 12 political science students and asked them to track their exam study times for a month. My sample had a mean of 20.675 with a standard deviation of 6.7693. Assume that the time students spend studying each month is normally distributed. I think that professor cooper is incorrect, so my research hypothesis is that the true average hours of study time is not 18 hours. At a 5% significance level, do I have enough evidence to reject Cooper's theory?

Answer 1

Test hypothesis are Ho: μ-18 Ha: μ # 18 Given X 20.675-6.7693 df -n-1 -11 Test statistict-20.675-18 P-value-0.1983 Since p-value>0.05 hence fail to reject the null hypothesis There is no evidence to conclude that reject the cooper's theory n -12 /Nn 6.7693/N1Z 1.369