Math 503 Name ________________________________

Groupwork

Assume that the data described on the handout are from a random sample from a population have mean resting pulse rate of 68.7 beats per minute, mean height of 66.3 inches, and a mean weight of 154.2 pounds.

1. What is the probability that we would observe a mean pulse rate greater than or equal to that which we observed in this sample?

2. What is the probability that we would observe a mean weight less than or equal to that which we observed in this sample?

3. If we had observed these same statistics for a sample of size 12 from the same population, what must we assume to be able to answer the same questions above? Why?

4. Assume we do not know the true means of the population from which this sample came, construct a 95% confidence interval for the mean height of the population. Interpret this interval