Latex allergy in health care workers. Health care workers who use latex gloves with glove...

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, a 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, March 2004). Summary statistics for the number of latex gloves used per week are  and 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.

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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.

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c. Give a practical interpretation of the interval you found in part b.

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