STA Final Project

4. Dr. Pridemore is interested in learning more about her students and wants to compare the average age of students of these students, She claims that there FUTURE PAST is no difference in the average age of students who chose to travel to the x1 = 21.1 X2 = 23.0 future and those who chose to travel to the past. She used the data collected in the Class Survey to compute summary statistics for each course. These $1 = 6.2 S2 = 8.1 values are displayed in the table. Assume that these samples were random n1 = 82 122 = 96 and that the population variances are NOT equal. At a = 0.10, is there enough evidence to reject Dr. Pridemore's claim? a. (2 pts) Write out the hypothesis statements below and identify the parameters of interest. Ho: Parameters of Interest: /1 = true average age of students who want to travel to the future Ha: H2 = true average age of students who want to travel to the past b. (1 pt) Which hypothesis represents the claim? Circle one: Null Hypothesis (Ho) or Alternative Hypothesis (H.) C. (1 pt) Explain what type of hypothesis testing you will perform and verify that the conditions are met. d. Test this hypothesis. (SHOW WORK TO EARN FULL CREDIT!) I (2 pts) Clearly label a sketch with appropriate shading. Also, identify the Critical Value(s) and Test Statistic. (1 pt) Critical Value(s) (1 pt) Test Statistic; (2 pts) Would you reject or fail to reject the null hypothesis? Circle one: Reject Ho or Fail to Reject Ho Explain your choice