Assume diastolic blood pressure is normally distributed in a certain healthy population, with a mean of 82 mmHg and a standard deviation of 11 mmHg. What proportion of this population has a diastolic blood pressure less than 60 mmHg (i.e., what is the probability that a person in this population has a diastolic blood pressure less than 60)
Assume this distribution of diastolic blood pressure is for a healthy population. If we observe an individual from an unknown population with a diastolic BP of 110 mmHg, what is the probability of observing an individual with a BP this extreme (i.e., in either direction from the mean) if the individual really came from a normal population with a mean of 82 and standard deviation of 11?
Let's take a sample of of size 10,000 from a normal distribution with a mean of 82 and a standard deviation of 11 representing diastolic blood pressure. What is the population mean and what is the sample mean? *Note: in order to have reproducible results, set a seed with* `set.seed()`*.*