1. Suppose that you are gathering a sample of size 14 from a normally distributed population whose population mean is 54.3 and population standard deviation is 7.6. Round to 2 decimal places if needed. a. What is the mean of the distribution of the sample mean? b. What is the standard deviation of the distribution of the sample mean? 2. Suppose that you select an individual from a normally distributed population whose mean blood pressure is 122 mmHg and standard deviation is 2.5 mmHg. Round to 4 decimal places. a. What is the probability that the individuals blood pressure is more than 124 mmHg? b. What is the probability that the individuals blood pressure is between 121 and 123 mmHg? 3. Suppose that you select a simple random sample of size 14 from a normally distributed population whose mean blood pressure is 122 mmHg and standard deviation is 2.5 mmHg. Round to 4 decimal places. a. What is the probability that the mean blood pressure is more than 124 mmHg? b. What is the probability that the mean blood pressure is between 121 and 123 mmHg? 4. If you are to calculate a T or chi-square critical value associated to a sample size of 48, what would be the associated degrees of freedom that you would reference? 5. Suppose that you collect two simple random samples from different populations. Sample 1 is of size 43 and has a sample variable of 6.72 Sample 2 is of size 21 and has a sample variance of 9.54 If we consider the quotient of these variances, with the larger variance on top and the smaller variance on bottom, then the quotient will be associated to an F distribution with: a. Top degrees of freedom = b. Bottom degrees of freedom =|