Problem 1. A meteorologist
who sampled 13 thunderstorms found that the average speed at which
they traveled across a certain state was 15 miles per hour. The
standard deviation of the sample was 1.7 miles per hour. Find the
99% confidence interval of the mean.
Problem 2. A sample of
400 people are given a drug, and 278 report that their symptoms are
relieved. Find a 90% confidence interval for the true proportion of
the population who experience relief of symptoms due to this drug.
Problem 3. A new drug
has been developed for a group of people and the researchers are
worried that it might have an effect on pulse rate. A sample of 36
people taking this experimental drug is taken from the population.
The mean pulse rate of the sample is 84 bpm with a standard
deviation of 5 bpm. Find a 92% confidence interval for the true mean
pulse rate of people taking the experimental drug.