Question: 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 n their exposure to latex gloves ( Current Allergy \& Clinical Immunology, Mar. 2004). Summary statistics for the number latex gloves used per week are: \(\bar{x}=19.3, s=11.9\).

1. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.
2. Form a \(95 \%\) confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
3. Give a practical interpretation of the interval, part b.
4. Give the conditions required for the interval, part b, to be valid.

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