Need help with these problems

Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 98% confidence level. What does the confidence interval tell about the population of all college students in the state? 3.8, 2.9, 4.0, 4.4, 3.0, 4.2, 3.4, 4.9, 4.4, 4.2, 4.2, 3.9, 3.2, 3.9, 3.6 -.. 1) A random sample of 10 venture-capital investments in the fiber optics business sector yielded the following data, in millions of dollars. Determine a 95% confidence interval for the mean amount, p, of all venture-capital investments in the fiber optics business sector. Assume that the population standard deviation is $2.77 million.(Note: The sum of the data is $60.80 million.) 10.76 5.98 7.66 7.67 4.33 5.44 3.96 2.41 8.25 4.34 -_. The confidence interval for p is from $ million to $ million. 2) A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 112, and the sample standard deviation, 3, is found to be 8. (a) Construct a 96% confidence interval about p if the sample size, n, is 22. (b) Construct a 96% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about it if the sample size, n, is 22. (d) Should the confidence intervals in parts ( )-(c) have been computed if the population had not been normally distributed? 3) A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 18.4, and the sample standard deviation, 5, is found to be 5.1. (a) Construct a 95% confidence interval about p if the sample size, n, is 33. (b) Construct a 95% confidence interval about u if the sample size, n, is 67. How does increasing the sample size affect the margin of error, E? (c) Construct a 99% confidence interval about p if the sample size, n, is 33. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 15, what conditions must be satisfied to compute the confidence interval