2. The mean and standard deviation of the blood sugar level of randomly selected 50 patients in a hospital are 130mg/dl and 4.6 mg/dl, respectively. a. Determine the point estimate of the population mean. b. What is the margin of error? c. Find the 90% confidence interval for the mean of all patients in the hospital. 3. A random sample of n=19 from a normal distribution has x = 32.7 and s = 2.5. a. Find a 90% confidence interval for the population mean. b. Compute for the margin of error. 4. A teacher noted that the mean scores of a random sample of 15 grade 8 students who had taken a special test was 80.50. If s=3.1, and the sample size is taken from an approximately normally distributed population, find the point estimate and interval estimate of the population mean with confidence interval of 99%