From the normally distributed systolic blood pressures of a given patient population with a standard deviation of 20 mm Hg, a physician took a random sample of 16 subjects and found that the mean systolic blood pressure(BP) was 124 mm Hg. Use this information to construct a 99% confidence interval for the mean of the patient population.

Medical research suggests that systolic blood pressure in adults is approximately normally distributed with a mean of 123.5 mm Hg and standard deviation 11.5 mm Hg.

What value of systolic blood pressure distinguishes the highest 10%?

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}xˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.�

Construct a 95% confidence interval for the population mean. Assume the population has a normal distribution. A sample of 25 randomly selected students has a mean test score of 81.5 with a standard deviation of 10.2