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Chance to complete ~ Due to the rising cost of tuition, students, their parents, and government agencies that distribute financial aid are interested in the completion rate of a university. The completion rate is defined to be the percentage of students who complete a 4-year degree within 6 years.Carly is working on a news article that compares this rate across institutions. She obtains a random sample of 54 private, 4-year colleges and universities in the United States found that the mean rate for students who complete a degree in 4 years is 0.525 with a standard deviation of 0.18.

1. Calculate a 95% confidence interval for the actual mean completion rate for private, 4-year colleges and universities in the United States.Give your answer to 4 decimal places.( , )Carly calculated a 99% confidence interval for the mean number of students at public 4-year universities to be (19090, 21390) using a random sample of size n=n= 50. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size.

IMPORTANT: Use a tt value rounded to THREE decimal places in any calculations. Round non-integer results to 4 decimal places.

2. What is the sample mean?x=x=

3. What is the margin of error?ME=ME=

4. What is the sample standard deviation?s=s=