Latex allergy in health care workers. Health care workers

Chapter 6, Problem 112SE

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QUESTION:

Problem 112SE

Latex allergy in health care workers. Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Symptoms of a latex allergy include conjunctivitis, hand eczema, nasal congestion, skin rash, and shortness of breath. Each in a sample of 46 hospital employees who were diagnosed with latex allergy based on a skin-prick test reported on their exposure to latex gloves (Current Allergy & Clinical Immunology, Mar. 2004). Summary statistics for the number of latex gloves used per week are= 19.3, s = 11.9.

a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.

b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.

c. Give a practical interpretation of the interval, part b.

d. Give the conditions required for the interval, part b, to be valid.

Questions & Answers

QUESTION:

Problem 112SE

Latex allergy in health care workers. Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Symptoms of a latex allergy include conjunctivitis, hand eczema, nasal congestion, skin rash, and shortness of breath. Each in a sample of 46 hospital employees who were diagnosed with latex allergy based on a skin-prick test reported on their exposure to latex gloves (Current Allergy & Clinical Immunology, Mar. 2004). Summary statistics for the number of latex gloves used per week are= 19.3, s = 11.9.

a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.

b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.

c. Give a practical interpretation of the interval, part b.

d. Give the conditions required for the interval, part b, to be valid.

ANSWER:

Solution:

Step 1 of 5:

     Given that, the number of latex gloves used per week are

           n = 46, 

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