A study of n = 46 hospital employees who were diagnosed with a latex allergy from exposure to the powder on latex gloves

A study of n = 46 hospital employees who were diagnosed with a latex allergy from exposure to the powder on latex gloves. The number of latex gloves used per week by the sampled workers is summarized as follows: xbar = 19.3 and s= 11.9. Let &#956; represent the mean number of latex gloves used per week by hospital employees. Consider testing H0: &#956; = 20 against Ha: &#956; < 20

a. Give the rejection region for the test at a significance level of &#945; = .01
b. Calculate the value of the test statistic
c. Use the results, part a and b, to make the appropriate conclusion