For the next questions, test the given claim using the traditional method for
hypothesis testing about a standard deviation. Assume that a simple random
sample has been taken and the population is normally distributed.
Health care administrators at Atlanta area hospitals are investigating whether the quality
of care given to pneumonia patients varies less than the United States hospital
population standard deviation of 16. From a sample of nine Atlanta area hospitals, they
found the portion of pneumonia patients who were given initial antibiotics within the
first four minutes of arrival had a standard deviation of 10. Use a .05 significance level
to test the claim that Atlanta area hospitals have less variation in the quality of care
given to pneumonia patients than United States hospitals.
-Identify the test statistic.

Identify the Type I error.
-The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch.

Find the critical value z assuming application of a normal distribution.
-Left-tailed test; Find the value of the test statistic z using the following information.