Find the confidence interval of a population mean for the following values:

1.Confidence level: 90%, n = 49, x = 56, = 0.8

2.Confidence level: 95%, n = 126, x = 86, = 0.075

3.Confidence level: 99%, n 144, x = 144, = 2.85

4.The mean and standard deviation of the scores of a random sample of 45 Grade 10 students who took the final test are calculated to be 76 and 12.5, respectively.

a.Find the 95% confidence interval for the mean of the entire Grade 10 students

b.Find the lower and upper confidence limits.

5.The mean and standard deviation of the blood sugar level of randomly selected 50 patients in a hospital are 130 mg/dl and 4.6 mg/dl, respectively.

a.Find the 90% confidence interval for the mean of all patients in the hospital.

b.Find the lower and upper confidence limits.