Three experiments investigating the relation between need forcognitive closure and persuasion were performed. Part of the studyinvolved administering a \"need for closure scale\" to a group ofstudents enrolled in an introductory psychology course. The \"needfor closure scale\" has scores ranging from 101 to 201. For the 79students in the highest quartile of the distribution, the meanscore was x = 176.50. Assume a population standard deviation of σ =7.47. These students were all classified as high on their need forclosure. Assume that the 79 students represent a random sample ofall students who are classified as high on their need for closure.Find a 95% confidence interval for the population mean score μ onthe \"need for closure scale\" for all students with a high need forclosure. (Round your answers to two decimal places.)
lower limit
upper limit