(8 points) The histogram shows the distribution of values of 300 pennies. The other two graphs show distributions of means from random samples taken from the same population of pennies. One histogram shows means based on samples of 5 pennies, and another shows means based on samples of 100 pennies. Each graph with means was done with many repetitions. Which distribution is which, and how do you know?
Population:
Sample size 5:
Sample size 100:
Explain your choices:
A random sample of 13 women's resting pulse rates from the National Health and Nutrition Examination Survey (NHANES) showed a mean of 73.5 beats per minute and a standard deviation of 17.1. Assume that the pulse rates are normally distributed (σ).
(2 points) What value should be used for σ? (Use the z-table in the appendix of your textbook)
(4 points) By hand, find a 95% confidence interval for the population pulse rate of women. Show the steps involved: