1.Find the t-value such that the area in the right tail is 0.025 with 14 degrees of freedom. 2.Determine the point estimate of the population mean and the margin of error for the given confidence interval. Lower bound: 12 Upper bound: 20 3.A simple random sample of size 15 is drawn from a population that is normally distributed. The sample mean is found to be 64.3, and the sample standard deviation, s, is found to be 5.6. Construct a 95% confidence interval for . 4.Dr. Paul Oswiecmiski wants to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females within 2 points with 99% confidence assuming that s = 13.4 based on earlier studies? 5.True or False: Decreasing the confidence level will decrease the sample size needed. (Hint Q9 sec 9.2 MyLab Math homework) Increasing the sample size will increase the margin of error. (Hint Q11 sec 9.2 MyLab Math homework)