119 Latex allergy in health care workers. Refer to the Current Allergy & Clinical Immunology (March 2004) study of n = 46 hospital employees who were diagnosed with a latex allergy from exposure to the powder on latex gloves, presented in Exercise 28 . Recall that the number of latex gloves used per week by the sampled workers is summarized as follows: x = 19.3 and s = 11.9. Let s2 represent the variance in the number of latex gloves used per week by all hospital employees. Consider testing H0: s2 = 100 against Ha: s2  100.

a. Give the rejection region for the test at a significance level of a = .01.

b. Calculate the value of the test statistic.

c. Use the results from parts a and b to draw the appropriate conclusion.