please guys be careful with the answers, I'm been getting my answers wrong. please double check before sending it. and please send it a little faster please ?

Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 84 students in the highest quartile of the distribution, the mean score was x = 177:10, Assume a population standard deviation of o = 8.13. These students were all classified as high on their need for closure. Assume that the 84 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score u on the "need for closure scale" for all students with a high need for closure. (Round your answers to two decimal places.) lower limit upper limit Need Help? Read It Submit Answer [-/1 Points] DETAILS BBUNDERSTAT12 7.R.006.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 66 students in the highest quartile of the distribution, the mean score was x = 176.90. Assume a population standard deviation of G = 7.83. These students were all classified as high on their need for closure. Assume that the 66 students represent a random sample of all students who are classified as high on their need for closure. How large a sample is needed if we wish to be 99% confident that the sample mean score is within 1.8 points of the population mean score for students who are high on the need for closure? (Round your answer up to the nearest whole number.) LO USE SALT