Latex allergy in health care workers. Refer to the Current Allergy & Clinical Immunology (Mar. 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 7.15

(p. 352). 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.