Please help! thank you!

Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administenng 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 3'4 students In the highest quartile of the distribution, the mean score was )7 = 177.30. Assume a population standard deviation of a = 191. These students were all classied as high on their need for closure. Assume that the ?4 students represent a random sample of all students who are classied 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 2.5 points of the population mean score for students who are high on the need for closure? (Rou rid your answer up to the nearest whole number.) students A research group conducted an extensive survey of 3031 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1609 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit