U.S. scientists studying a certain medical condition discovered that a new person is diagnosed every two minutes, on average. Suppose the standard deviation is 0.5 minutes and the sample size is 100.
- Find the median, the first quartile, and the third quartile for the sample mean time of diagnosis in the United States.
- Find the median, the first quartile, and the third quartile for the sum of sample times of diagnosis in the United States.
- Find the probability that a diagnosis occurs on average between 1.75 and 1.85 minutes.
- Find the value that is two standard deviations above the sample mean.
- Find the IQR for the sum of the sample times.
OpenStax Statistics, 7.3 Using the Central Limit Theorem, exercise 9