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 74students in the highest quartile of the distribution the mean scorewas X bar equals 176.30. Assume a population standard deviation of8.23. The students were all classified as high on their need forclosure. Assume that the 74 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 on theknee foreclosure scale for all students with a high need forclosure. Round your answer to two decimal places. lower limit/upperlimit