All about bio statistics

I. Suppose a population consists of the following values: 1. 3, 5, I", 9. Find the mean and variance of the sampling distribution of the mean given a sample size of 3 if: ta} sampling is done with replacement (b) sampling is done without replacement ll. A sample of 100 subjects with chronic anterior cruciate ligament (MIL) tears were examined. The researchers found that the mean laxity value among the subjects was 1?.4mm. The population standard deviation among those with such condition is known to be 4.3 mm. 1. what is the standard error of the mean? 2. Construct the 95% condence interval for the mean assuming the sample came from a population exhibiting normality. Ill. It is known from a random sample of 100 individuals obtained from a community that the sample mean and sample variance of height are 165 cm and 100 cm2, respectively. 3. Construct 90%, 95% and 99% confidence intervals of the mean. b. Construct 99%, 95% and 99% confidence intervals of the variance